Key Concept: Pressure and Area

d) 40 $N/m^2$
[Solution Description]
Pressure is calculated using the formula:
$Pressure = \frac{Force}{Area} = \frac{200\,N}{5\,m^2} = 40\,N/m^2$

Key Concept: Atmospheric Pressure

c) The pressure inside our body equals the atmospheric pressure
[Solution Description]
The atmospheric pressure acts on our bodies from all directions, but the pressure inside our body balances it. This equilibrium prevents us from feeling crushed.

Key Concept: Definition of pressure

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that a bag with broad straps exerts less pressure on the shoulders compared to a bag with narrow straps carrying the same weight. This is true because pressure is calculated as $Pressure = \frac{Force}{Area}$. For the same force (weight of the bag), increasing the area (broad straps) decreases the pressure.
The reason defines pressure as force per unit area, which is correct and directly explains why broad straps reduce pressure. Therefore, both Assertion and Reason are true, and Reason correctly explains the Assertion.

Key Concept: Practical Application

b) Sharp knife reduces area, increasing pressure
[Solution Description]
A sharp knife has a smaller edge area compared to a blunt knife. Since $P = \frac{F}{A}$, for the same applied force, the pressure is higher when the area is smaller. Thus, the sharp knife cuts more easily due to higher pressure.

Key Concept: Pressure, SI Unit of Pressure: Pascal

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
To verify the assertion, let's calculate the pressure using the given values:
Given: Force = 500 N, Area = 10 m\textsuperscript{2}.
Pressure = $\frac{Force}{Area} = \frac{500\,N}{10\,m^2} = 50\,N/m^2 = 50\,Pa$.
Thus, the assertion is correct.
The reason states the definition of pressure and its SI unit, which is also correct. Moreover, it correctly explains how pressure is derived from force and area, justifying the assertion. Therefore, both the assertion and reason are true, and the reason correctly explains the assertion.

Key Concept: Pressure and its SI unit

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that the SI unit of pressure is pascal (Pa), which is correct as per the syllabus. The reason explains that pressure is defined as force per unit area, with SI units of newton (N) for force and metre$^2$ ($m^2$) for area. This is also correct, and it correctly justifies why the unit of pressure is Pa, since $1\,Pa = 1\,N/m^2$. Therefore, both the assertion and reason are true, and the reason correctly explains the assertion.

Key Concept: Formula for Pressure

b) \(50\ \mathrm{N/m^2}\)
[Solution Description]
Pressure tells us how much force is acting on each unit area. Here, a force of 200 N is spread over an area of 4 square metres. To find the pressure, divide the force by the area. So, each square metre receives 50 N of force. Therefore, the pressure exerted is 50 pascals (Pa).

Key Concept: Pressure and Area Relationship

c) Assertion is true, but Reason is false.
[Solution Description]
The assertion is correct because a sharp knife has a smaller area of contact compared to a blunt one for the same force, which leads to higher pressure according to $P = \frac{F}{A}$. However, the reason is incorrect because pressure is inversely proportional to the area of contact for a given force, not directly proportional. Therefore, the assertion is true, but the reason is false.

Key Concept: Effect of Sharpness on Cutting

b) A sharp knife has a smaller edge area, increasing pressure.
[Solution Description]
A sharp knife has a smaller edge area, which increases the pressure applied when cutting, making it easier to slice through materials. A blunt knife has a larger edge area, reducing the pressure and making cutting more difficult. $Pressure = \frac{Force}{Area}$ explains this relationship.

Key Concept: Pressure, Area Relationship

b) Pressure doubles
[Solution Description]
The pressure is given by $P = \frac{F}{A}$. When the strap width is halved (from 5 cm to 2.5 cm), the area of contact decreases since $A$ is proportional to width for a given length. Thus, pressure doubles because $P$ is inversely proportional to $A$.

Key Concept: Pressure Exerted by Air

d) The atmospheric pressure exerts a greater force due to the larger area of the unfolded sheet.
[Solution Description]
The unfolded chart paper has a larger surface area exposed to atmospheric pressure than the folded one. The air exerts force on the sheet, and because pressure is force per unit area ($P = F/A$), a larger area means greater total force acting downward. Thus, more effort is required to overcome this increased force when lifting the plate.

Key Concept: Sucker Experiment, Pressure Difference

c) External atmospheric pressure exceeds internal pressure of the sucker.
[Solution Description]
Pressing the sucker expels most of the air trapped between its cup and the surface. This reduces the internal air pressure, creating a pressure difference: the external atmospheric pressure is now higher than the pressure inside the sucker. The higher external pressure pushes the sucker against the surface, making it difficult to pull off. Only a strong enough force can overcome this pressure difference.

Key Concept: Units of Pressure Conversion

c) $1013 \hspace{0.1em} \text{mb}$
[Solution Description]
1 hectopascal \(1\ \mathrm{hPa} = 1\ \mathrm{millibar} = 1\ \mathrm{mb}\). Thus, the conversion is direct:
$1013 \hspace{0.1em} \text{hPa} = 1013 \hspace{0.1em} \text{mb}$

Key Concept: Atmospheric pressure, directionality

c) An inflated balloon expands uniformly when more air is blown into it.
[Solution Description]
Air exerts pressure equally in all directions. An inflated balloon expands uniformly because the air inside pushes outward in all directions. This is a direct observation of omnidirectional pressure.

Key Concept: Sucker Experiment Analysis

c) External air pressure exceeds the reduced pressure inside the sucker.
[Solution Description]
When the sucker is pressed, air inside it is expelled, reducing internal pressure. The external atmospheric pressure ($P_{\text{atm}}$) becomes higher than the internal pressure, creating a net inward force ($F = P_{\text{atm}} \times A$). This pressure difference makes it difficult to pull the sucker off.

Key Concept: Atmospheric Pressure, Pressure-Force Relationship

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.
[Solution Description]
The Assertion states that atmospheric pressure exerts a force of 2250 N over an area of 225 cm$^2$. From the given information, we know that the force exerted by the atmospheric air column over an area of 15 cm $\times$ 15 cm (225 cm$^2$) is nearly equal to 2250 N, which matches the Assertion. The Reason explains that the internal pressure in our bodies balances the external atmospheric pressure, preventing us from being crushed, which is also correct. However, the Reason does not explain why the Assertion is true (i.e., it does not justify the force calculation). Thus, both are true, but the Reason is not the correct explanation of the Assertion.

Key Concept: Pressure and Area Relationship

b) Atmospheric pressure exerts a force proportional to the area exposed
[Solution Description]
Since the weight of the covering sheets remains constant but the effort varies with area, the increase in effort must be due to air pressure. Pressure ($P$) is force ($F$) per unit area ($A$), given by $P = F/A$. Larger area means more total force from atmospheric pressure acting downward, hence greater lifting effort.

Key Concept: Pressure Exerted by Air, Surface Area Effect

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
In the given experiment, the assertion states that more effort is needed to lift the paper plate when covered with an unfolded sheet than a folded one, which is true as observed in Activity 6.3. The reason claims this is due to higher atmospheric pressure on the unfolded sheet because of its larger surface area, which is also true. Moreover, the reason correctly explains the assertion since atmospheric pressure acts on all surfaces, and its effect increases with the surface area exposed to air. Hence, both the assertion and reason are true, and the reason is the correct explanation for the assertion.

Key Concept: Air Pressure Experiment

c) The unfolded chart paper has a larger surface area exposed to atmospheric pressure
[Solution Description]
When the unfolded chart paper covers the paper plate, it increases the surface area exposed to atmospheric pressure. Air exerts force per unit area (pressure) on all objects. The larger area of the unfolded sheet means more air pressure acts downward, making it harder to lift. The folded sheet has less area, so less air pressure acts on it, requiring less effort.

Key Concept: Air pressure, Surface area comparison

c) 1:4
[Solution Description]
1) When the chart paper is folded twice, its area reduces to 1/4th of the original (since folding halves the length and width: (70/2) × (56/2) = 35 × 28 cm).
2) The unfolded sheet maintains full area (70 × 56 cm).
3) Air pressure $P = F/A$, where F remains constant (same weight of chart paper), but A changes.
4) Pressure ratio = $\frac{P_{\text{unfolded}}}{P_{\text{folded}}} = \frac{F/A_{\text{unfolded}}}{F/A_{\text{folded}}} = \frac{A_{\text{folded}}}{A_{\text{unfolded}}}$
5) Calculation: $\frac{35×28}{70×56} = \frac{980}{3920} = \frac{1}{4}$
Thus, the pressure ratio is 1:4.

Key Concept: Direction of Air Pressure

c) Air exerts pressure equally in all directions, causing uniform expansion.
[Solution Description]
Air molecules inside the balloon move randomly and collide with the inner walls, exerting pressure uniformly in all directions. Since the rubber material of the balloon is flexible, it expands outward equally to balance the internal air pressure.

Key Concept: Effect of air pressure, Pressure equilibrium

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
In the given scenario, the inflated balloon has higher internal pressure compared to the uninflated one. According to the concept of pressure equilibrium, air will flow from the high-pressure region (inflated balloon) to the low-pressure region (uninflated balloon) through the straw. The flow continues until the pressures in both balloons become equal, resulting in both balloons attaining similar sizes. The reason correctly explains why the air moves, as it aligns with the principle that air moves from high to low pressure regions. Therefore, both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

Key Concept: Air pressure behavior, Balloon inflation dynamics

c) Air escapes until internal pressure equals external atmospheric pressure.
[Solution Description]
When the balloon's mouth is open, the high-pressure air inside escapes to the lower-pressure environment outside. The air continues to flow out until the pressure inside equals the atmospheric pressure outside, causing complete deflation. Without a closed system, equilibrium is achieved only when internal pressure matches external pressure.

Key Concept: Effect of air pressure on balloons

c) The balloon inflates because air exerts pressure on its walls.
[Solution Description]
When air is blown into a balloon, it gets inflated because the air exerts pressure on the inner walls of the balloon. This pressure acts in all directions, causing the balloon to expand uniformly.

Key Concept: Air Pressure's Role in Daily Life

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that a rubber sucker sticks to a smooth surface because of the difference in air pressure, which is correct. When the sucker is pressed against a smooth surface, most of the air inside is pushed out, reducing the internal pressure. The external atmospheric pressure, being higher, exerts a force that keeps the sucker firmly attached to the surface. The reason correctly explains why this happens: it describes the process of expelling air from inside the sucker, creating a low-pressure region, and how the higher external pressure maintains the attachment. Therefore, both the assertion and reason are true, and the reason is the correct explanation of the assertion.

Key Concept: Units of pressure, Real-world application

d) 100,000 Pa
[Solution Description]
First, convert mass to force: $F = mg = 225 \, \text{kg} \times 10 \, \text{m/s}^2 = 2250 \, \text{N}$. Then, convert area to square meters: $225 \, \text{cm}^2 = 0.0225 \, \text{m}^2$. Pressure $P = F/A = 2250 / 0.0225 = 100,\!000 \, \text{Pa}$ (or $1000 \, \text{hPa}$).

Key Concept: Atmospheric Pressure

b) Air exerts pressure equally in all directions inside the balloon.
[Solution Description]
When air is blown into a balloon, it exerts pressure on the inner walls of the balloon. Since air exerts pressure equally in all directions (isotropic nature of pressure), the balloon expands uniformly in all directions. This is due to the balanced force distribution caused by the air molecules colliding with the balloon's surface.

Key Concept: Atmospheric Pressure

b) Narrow straps concentrate pressure on a smaller area
[Solution Description]
Broad straps increase the area over which the weight of the bag is distributed. Since pressure is defined as force per unit area ($P = \frac{F}{A}$), increasing the area reduces the pressure exerted on the shoulders. Therefore, carrying a bag with broad straps feels more comfortable because the pressure is spread out over a larger area.

Key Concept: Formation of Wind

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The Assertion states that during the day, wind blows from the sea to the land because of the formation of a low-pressure region over the land. This is true as the land heats up faster than water, causing the air above it to warm up, rise, and create a low-pressure area. The Reason explains the cause of this phenomenon by stating that land gets heated faster, leading to the rising of air and creation of a low-pressure area. Since the Reason correctly explains the Assertion, both are true and logically connected.

Key Concept: Thunderstorms, Charge separation

c) Collision of water droplets and ice particles causes charge separation.
[Solution Description]
During thunderstorms, strong updrafts and downdrafts cause water droplets and ice particles to collide, leading to charge separation. Positive charges accumulate at the top and negative charges at the bottom of clouds. When the charge difference becomes large enough, it discharges as lightning.

Key Concept: High-speed winds and air pressure

c) High-speed winds reduce air pressure above the roof
[Solution Description]
High-speed winds create a low-pressure area above the roof. The pressure below the roof remains relatively higher, causing an upward force. If the pressure difference is large enough and the roof is weak, it may be blown away.

Key Concept: Pressure difference, Wind formation

a) Wind is formed with speed proportional to the pressure difference.
[Solution Description]
When air moves from a high-pressure region to a low-pressure region, it results in the formation of wind. The greater the pressure difference, the faster the wind speed. This is because nature tends to balance pressure differences by moving air from areas of higher pressure to areas of lower pressure.

Key Concept: Pressure difference and wind formation

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The Assertion states that winds form due to the movement of air from high-pressure to low-pressure regions, which is correct as seen in activities like balloon experiments and sea/land breezes. The Reason states that wind speed increases with greater pressure differences, which is also true and explains why stronger winds occur in cases of larger pressure differentials, such as during storms or cyclones. Therefore, both the Assertion and Reason are true, and the Reason correctly explains the Assertion.

Key Concept: Assertion-Reason

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The Assertion states that wind moves from a high-pressure region to a low-pressure region, which is true as explained in the activity where air flows from the inflated balloon (high pressure) to the uninflated balloon (low pressure). The Reason correctly explains this phenomenon by stating that the difference in air pressure causes the movement of air. Therefore, both Assertion and Reason are true, and Reason provides the correct explanation for the Assertion.

Key Concept: Unit of Pressure

b) Pascal ($Pa$)
[Solution Description]
The SI unit of pressure is $N/m^2$, also known as pascal ($Pa$). Other units like millibar ($mb$) and hectopascal ($hPa$) are derived from it but are not the standard SI unit.

Key Concept: Basic Concept

b) Difference in air pressure
[Solution Description]
Wind is caused by the movement of air from a high pressure region to a low pressure region. This happens because air naturally moves to balance the pressure differences between two regions.

Key Concept: Formation of Wind, Pressure Differences

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that during the day, sea breeze occurs due to warm air rising over the land, creating a low-pressure area, which causes cooler air from the sea (high-pressure area) to move toward the land. This is correct as per the concept of pressure differences in wind formation. The reason explains the general principle that air moves from high-pressure regions to low-pressure regions until equilibrium is reached, which directly explains why the sea breeze occurs. Both are true, and the reason correctly explains the assertion.

Key Concept: Formation of Wind

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
During the day, the land heats up faster than the sea due to differences in specific heat capacity. This causes the air above the land to warm up and rise, creating a low-pressure region. Cooler air from the higher-pressure region over the sea moves toward the low-pressure region over the land, resulting in a sea breeze. Thus, both Assertion (A) and Reason (R) are true, and Reason (R) correctly explains Assertion (A).

Key Concept: Land breeze formation

d) Cooler air sinks over the land, creating a high-pressure zone that pushes air towards the sea.
[Solution Description]
At night, the land cools down faster than the sea. As a result, the air above the land becomes cooler and denser, leading to a high-pressure area over the land. Meanwhile, the sea retains heat longer, keeping its surface warmer. The cooler air from the high-pressure land area moves towards the lower pressure over the sea, creating a land breeze.

Key Concept: Pressure difference, Wind speed

c) The wind speed doubles.
[Solution Description]
The wind speed is directly proportional to the pressure difference:
$\text{Wind speed} \propto \text{Pressure difference}$.
Initially, let the wind speed be $v_1$ when pressure difference is 12 hPa.
When pressure difference doubles to 24 hPa, the new wind speed $v_2$ can be calculated as:
$\frac{v_2}{v_1} = \frac{24 \text{ hPa}}{12 \text{ hPa}} = 2$
Therefore, $v_2 = 2v_1$. The wind speed doubles.

Key Concept: Pressure Differences

d) The pressure gradient force drives air from high to low pressure.
[Solution Description]
Air moves from high-pressure regions to low-pressure regions due to the pressure gradient force. This natural movement occurs because the atmosphere seeks to balance pressure differences.

Key Concept: Sea Breeze, Land Breeze, Wind Speed

b) Sea breeze winds are stronger than land breeze winds
[Solution Description]
Wind speed is proportional to the pressure difference. Since the sea breeze has a higher pressure difference (3 hPa) compared to the land breeze (2 hPa), the wind speed during the sea breeze will be stronger. This aligns with the relationship $\text{Wind speed} \propto \text{Pressure difference}$.

Key Concept: Sea and land breezes

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that sea breeze occurs during the day because the land gets heated faster than the sea. This is true as land heats up faster than water, causing the air above it to rise and create a low-pressure area, drawing in cooler air from the sea (high-pressure area). The reason states that air moves from a region of high pressure to a region of low pressure, which is a fundamental principle behind wind formation. The reason correctly explains why the sea breeze occurs, as it describes the movement of air due to pressure differences caused by uneven heating of land and sea.

Key Concept: Land Breeze

c) Because the sea retains heat longer and develops lower pressure.
[Solution Description]
At night, the land cools down faster than the sea. The air above the sea remains warmer, creating a low-pressure area over the sea. Consequently, the cooler air from the high-pressure region over the land moves towards the sea, forming a land breeze.

Key Concept: High-Speed Winds Result in Lowering of Air Pressure, Bernoulli's Principle

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that keeping doors and windows closed during a storm increases the likelihood of roofs blowing off. This is true because when high-speed winds pass over the roof, they create a low-pressure area above it (Bernoulli's principle). If the house remains airtight (doors/windows closed), the higher air pressure inside the house exerts an upward force on the roof, potentially causing it to blow off. The reason correctly explains this phenomenon using Bernoulli's principle, which relates high-speed winds ($v$) and reduced pressure ($P$): $P + \frac{1}{2} \rho v^2 = \text{constant}$. Thus, both assertion and reason are true, and the reason is the correct explanation for the assertion.

Key Concept: High-speed winds and air pressure

c) The balloons move towards each other due to reduced pressure between them.
[Solution Description]
When high-speed wind is blown between the two balloons, it creates a low-pressure region between them. The higher air pressure on the outer sides of the balloons pushes them towards each other. This demonstrates that high-speed winds lower air pressure.

Key Concept: High-Speed Winds and Air Pressure

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that when high-speed winds blow over a house, the roof may get blown away due to the pressure difference. This is true because high-speed winds reduce the air pressure above the roof (as per Bernoulli's principle), while the air pressure inside the house remains relatively higher. If this pressure difference is significant and the roof is not strong enough, it can be blown away. The reason correctly explains why the roof may get blown away: high-speed winds indeed create a low-pressure area above the roof, while the air pressure inside the house remains higher. Thus, the reason is the correct explanation for the assertion.

Key Concept: High-speed winds, Pressure difference, Structural safety

b) 100365 Pa
[Solution Description]
According to Bernoulli's principle, the total energy per unit volume remains constant. The pressure difference can be calculated using the formula $\Delta P = \frac{1}{2}\rho v^2$. Given $\rho = 1.2$ kg/m$^3$ and $v = 40$ m/s, we have:
Step 1: Compute $\frac{1}{2}\rho v^2$
$\frac{1}{2} \times 1.2 \times (40)^2 = 0.6 \times 1600 = 960$ Pa.
Step 2: Subtract this from the internal pressure
Pressure above roof $= P_{\text{inside}} - \Delta P = 101325 - 960 = 100365$ Pa.
Thus, the pressure above the roof is approximately $100365$ Pa.

Key Concept: Wind Speed and Pressure Relationship

b) Air pressure decreases due to fewer molecular collisions.
[Solution Description]
According to Bernoulli's principle, an increase in wind speed leads to a decrease in air pressure. When wind blows faster over a surface, the kinetic energy of the air molecules increases, causing fewer collisions per unit area, resulting in lower pressure in that region.

Key Concept: Low-pressure areas

c) Low pressure created by wind pulls them together
[Solution Description]
When air is blown between two balloons, it creates a low-pressure zone between them. The higher pressure outside the balloons pushes them inward, causing them to move closer. This demonstrates how high-speed winds reduce pressure in an area.

Key Concept: High-speed winds, Bernoulli's principle, Low-pressure areas

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that during a storm, keeping windows and doors closed increases the likelihood of the roof blowing off due to pressure difference. This is correct because high-speed winds reduce pressure above the roof as per Bernoulli's principle ($P + \frac{1}{2} \rho v^2 = \text{constant}$). The reason explains this phenomenon correctly by mentioning the low-pressure region created by high-speed winds and the resulting pressure imbalance. Since both the assertion and reason are true, and the reason correctly explains the assertion, the correct answer is option a).

Key Concept: High-Speed Winds and Air Pressure

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that high-speed winds blowing over a roof can cause it to be blown off, which is true based on the syllabus. The reason explains that this occurs because high-speed winds lower the air pressure above the roof, while the higher pressure inside the house pushes upward. Since both the assertion and reason are correct, and the reason directly explains the assertion, the correct answer is (a).

Key Concept: Effect of Blowing Harder on Balloons

c) They move towards each other faster.
[Solution Description]
Blowing harder increases the speed of the air between the balloons, further reducing the air pressure in that region. The greater difference in pressure compared to the surrounding air causes the balloons to move towards each other at a faster rate.

Key Concept: Effect of High-Speed Wind on Air Pressure

c) The air pressure decreases.
[Solution Description]
When air is blown between the two balloons, it creates a region of high-speed wind, which reduces the air pressure in that area. The surrounding higher air pressure pushes the balloons towards each other. Thus, the air pressure between the balloons decreases.

Key Concept: Effect of Blowing Harder

c) The balloons move towards each other more quickly.
[Solution Description]
Blowing harder increases the speed of the air moving between the balloons, reducing the air pressure further. As a result, the difference in pressure causes the balloons to move towards each other more quickly.

Key Concept: Air Pressure, Speed-Pressure Relationship

c) The distance will decrease less in the second case.
[Solution Description]
According to Bernoulli's principle, lower airspeed results in higher pressure between the balloons. Reduced blowing speed means less pressure difference is created, so the balloons will move towards each other slower.
For 20 m/s: Distance decreases significantly as balloons accelerate faster due to high pressure difference.
For 10 m/s: Distance decreases at half the rate since pressure difference is smaller.
After 2 seconds, the distance covered in the second case will be less than in the first case, meaning the balloons will be farther apart compared to the first scenario.

Key Concept: Pressure difference, Roof stability

b) 250,000 N
[Solution Description]
Given:
- Pressure below roof ($P_{\text{below}}$) = $1.01 \times 10^5$ Pa
- Pressure difference ($\Delta P$) = 5000 Pa
- Roof area (A) = 50 $m^2$
The net upward force (F) can be calculated using the formula: $F = \Delta P \times A$
Step 1: Plug in the values
$F = 5000 \times 50 = 250000 N$
Therefore, the upward force is 250,000 N.

Key Concept: Pressure equalization, Structural safety

b) It equalizes air pressure inside and outside the house
[Solution Description]
According to the Bernoulli's principle and the syllabus content:
1) High-speed winds create low pressure above the roof
2) With windows closed, higher pressure inside pushes up on roof
3) When windows are open, wind flows through house reducing inside pressure
4) This minimizes pressure difference across roof structure
5) Reduced pressure difference means less upward force on roof
Therefore, it helps equalize pressures and prevent structural damage.

Key Concept: Impact of Pressure Differences on Structures

b) It reduces the pressure difference between inside and outside.
[Solution Description]
Keeping doors and windows open allows the high-speed wind to move through the house, reducing the pressure difference between the inside and outside. This prevents the roofs from being blown off due to excessive pressure difference.

Key Concept: Unit of Pressure

b) Pascal ($Pa$)
[Solution Description]
The SI unit of pressure is $N/m^2$, also known as pascal ($Pa$). Other units like millibar ($mb$) and hectopascal ($hPa$) are also used, but $Pa$ is the standard SI unit.

Key Concept: Local Names of Thunderstorms

b) Bordoisila
[Solution Description]
In Assam, thunderstorms are locally known as Bordoisila. Kalboishakhi is associated with West Bengal, Bihar, and Jharkhand, while Mango showers occur in Kerala, Karnataka, and Tamil Nadu.

Key Concept: Thunderstorm conditions, Safety measures

c) Standing near a tall tree in an open field
[Solution Description]
Standing near a tall tree is unsafe because lightning tends to strike the tallest object in an area. Even if crouching in an open area is advised, proximity to tall objects increases the risk of being struck.

Key Concept: Formation of Storms

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that during a storm, warm air rises and creates a low-pressure area, which is correct as per the syllabus. The reason explains that cooler air rushes in to replace the rising warm air, leading to continuous wind circulation, which is also correct and directly explains the assertion. Therefore, both are true, and the reason correctly explains the assertion.

Key Concept: Lightning Conductor

b) To provide a safe path for electric charges to reach the ground
[Solution Description]
A lightning conductor provides an easy path for the transfer of electric charges from a lightning strike into the ground, preventing damage to the building. It consists of a metallic rod with one end pointed higher than the building's highest point and the other end buried deep in the ground.

Key Concept: Precautions during thunderstorms

c) Crouch down in a low-lying open area
[Solution Description]
During thunderstorms, it is safer to crouch down in a low-lying open area to minimize contact with the ground and avoid being the tallest object, reducing the risk of being struck by lightning.

Key Concept: Formation of Storms

d) Low pressure above the roof and high pressure below it
[Solution Description]
High-speed winds create a low-pressure area above the roof, while the air pressure inside the house remains higher. The large pressure difference can cause weak roofs to be blown away.

Key Concept: Formation of Storms

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that high-speed winds create a low-pressure area over houses, which is true as per the syllabus. The reason explains that this happens because high-speed winds are accompanied by reduced air pressure, which is also true and correctly explains why low pressure is created. Hence, both the assertion and reason are true, and the reason is the correct explanation of the assertion.

Key Concept: Thunderstorms and Lightning

d) Positive charges in the upper part and negative charges in the lower part
[Solution Description]
Before lightning, positive charges accumulate in the upper part of the cloud (ice particles), while negative charges (water droplets) collect in the lower part of the cloud.

Key Concept: Role of Winds, Moisture, and Temperature

a) Warm air has lower pressure than cold air.
[Solution Description]
Warm air rises because it is less dense than cooler air. When land gets heated, the warm and moist air becomes lighter and creates a low-pressure area, causing it to rise. This rising motion sets up the wind circulation necessary for thunderstorm development.

Key Concept: Thunderstorm formation, Charge separation in clouds

d) Assertion is false, but Reason is true.
[Solution Description]
The Assertion claims that lightning occurs exclusively between a cloud and the ground due to maximum charge separation there, which is false. Lightning can occur within a cloud, between clouds, or between a cloud and the ground. The Reason correctly describes the charge distribution in a thundercloud but does not justify the Assertion, as it explains general charge separation, not ground-specific phenomena.

Key Concept: Localized Thunderstorms

c) They supply necessary rain before monsoon for kharif crops.
[Solution Description]
Localized thunderstorms such as Kalboishakhi occur before the monsoon and provide essential rainfall that supports the growth of kharif crops and aids in ripening fruits like mangoes, benefiting agriculture.

Key Concept: Assertion and Reason

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The Assertion states that thunderstorms are more frequent in hot, humid, and tropical regions like India, which is true because such conditions provide the necessary moisture and temperature contrasts for thunderstorm development. The Reason explains that warm air rises to great heights, forming ice particles and causing charge separation, which is also correct and directly explains why thunderstorms occur more frequently in these regions. Thus, both the Assertion and Reason are true, and the Reason is the correct explanation of the Assertion.

Key Concept: Lightning safety measures, Static charge induction

d) They attract lightning due to charge induction
[Solution Description]
Tall objects and metallic conductors are more likely to be struck by lightning because they provide a path of least resistance for the discharge. The negatively charged base of the cloud induces a positive charge on such objects, increasing the risk of a lightning strike.

Key Concept: Static charge development, Lightning conductor

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The lightning conductor is designed to protect buildings by providing a low-resistance path for lightning to follow, safely directing the charge into the ground. The pointed end of the conductor helps ionize the air, reducing the insulating property of air and allowing easier discharge. Both the assertion and reason are true, and the reason correctly explains why the lightning conductor works as described in the assertion.

Key Concept: Static charge development in clouds

b) Friction between ice particles and water droplets due to wind movement
[Solution Description]
The strong upward and downward winds within a cloud cause rubbing between water droplets and ice particles, leading to charge separation. Lighter positively charged ice particles move upwards while heavier negatively charged water droplets remain at the lower part of the cloud.

Key Concept: Safety precautions during lightning

d) Crouching in a low-lying open area
[Solution Description]
During a thunderstorm, crouching in a low-lying open area minimizes the risk of being struck by lightning as it reduces exposure and avoids tall objects that attract lightning.

Key Concept: Formation of Lightning

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
Lightning is caused by the movement of electric charges, as mentioned in the Assertion (A). The Reason (R) explains the process by which these charges are generated—through the rubbing of water droplets and ice particles in the clouds. Since the Reason correctly explains the Assertion, both are true and logically connected.

Key Concept: Charge Separation in Clouds

b) Friction between rising and falling ice and water particles
[Solution Description]
According to the syllabus, strong winds blowing upwards and downwards facilitate rubbing between water droplets and ice particles. This friction causes static electric charges to develop, with positively charged lighter ice particles moving to the upper part of the cloud and negatively charged heavier water droplets occupying the lower part. Thus, charge separation occurs due to the movement and collision of these particles.

Key Concept: Charge Separation, Lightning Formation

c) Friction between water droplets and ice particles
[Solution Description]
The charge separation in clouds occurs due to the rubbing of ice particles and water droplets by strong upward and downward winds. The lighter ice particles gain a positive charge and move to the upper part of the cloud, while the heavier water droplets gain a negative charge and occupy the lower part. This creates a charge separation within the cloud.

Key Concept: Formation of Thunder

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that thunder is produced due to rapid expansion of air caused by the intense heat from lightning. According to the syllabus, thunder indeed results from the explosive expansion of air heated by lightning. The reason explains that lightning involves a sudden flow of electric charges, which heats the air. This directly supports the assertion because the mechanism described in the reason leads to the effect mentioned in the assertion. Thus, both statements are true, and the reason correctly explains the assertion.

Key Concept: Eye of the Cyclone

c) Calm winds and low pressure
[Solution Description]
The eye of the cyclone is a region of calm winds and low pressure at the center of the storm, surrounded by intense winds and heavy rainfall.

Key Concept: Cyclone Impact

c) Saltwater making soil more fertile.
[Solution Description]
When a cyclone reaches land, it loses its source of moist air and gradually weakens. However, it still causes destruction through strong winds, storm surges, heavy rainfall, flooding, landslides, and contamination of freshwater sources. Improved soil fertility is not an impact; instead, seawater intrusion makes soil less fertile due to salt deposits.

Key Concept: Cyclone formation, Pressure difference

b) $0.167 \, \text{hPa/km}$
[Solution Description]
The pressure gradient is calculated as the change in pressure divided by the distance over which this change occurs. Here, the pressure difference is $1000 \, \text{hPa} - 950 \, \text{hPa} = 50 \, \text{hPa}$. The distance is 300 km.
Therefore, the pressure gradient is:
$\frac{50 \, \text{hPa}}{300 \, \text{km}} = \frac{1}{6} \, \text{hPa/km} \approx 0.167 \, \text{hPa/km}$

Key Concept: Cyclone impact, Storm surge

c) 1200 meters
[Solution Description]
First, calculate the effective rise in water level due to the storm surge: $8 \, \text{m} - 2 \, \text{m} = 6 \, \text{m}$.
The land slope is 0.5%, meaning for every 100 meters horizontally, the elevation changes by 0.5 meters. To find the horizontal distance $x$ where the elevation rises by 6 meters:
$0.005 = \frac{6}{x} \implies x = \frac{6}{0.005} = 1200 \, \text{meters}$

Key Concept: Impact

c) Strong winds, heavy rain, and storm surges
[Solution Description]
When a cyclone reaches land, it loses its source of moist air and weakens, but before that, it causes destruction through strong winds, heavy rainfall, storm surges, and flooding. The text explains: "Once the cyclone reaches land, the source of moist air is cut off and it gradually loses its strength... Cyclones can be extremely destructive..."

Key Concept: Cyclone formation, Eye of the cyclone

b) The eye contains descending air that suppresses wind activity.
[Solution Description]
The eye of the cyclone is a region characterized by descending air. As warm, moist air rises in the surrounding eyewall, it cools and condenses, releasing latent heat, which further drives the upward motion. At the center (eye), the descending air creates a low-pressure area but suppresses cloud formation and wind activity, leading to calm conditions.

Key Concept: Basic Concept

c) Eye of the cyclone
[Solution Description]
The eye of the cyclone is the central region where the pressure is the lowest and winds are calm. This is mentioned in the text as: "In a cyclone, the region of lowest pressure is at the centre, known as the eye of the cyclone."

Key Concept: Storm surge, Cyclone impact

c) Widespread flooding and saltwater intrusion.
[Solution Description]
A storm surge is a rapid rise in sea level caused by a cyclone's strong winds pushing water toward the shore. A 10-meter surge can flood coastal regions extensively, damaging infrastructure, contaminating freshwater sources, and causing loss of life due to drowning or structural collapse.

Key Concept: Safety Measures, High-speed winds

b) Constructing cyclone-resistant buildings
[Solution Description]
For cyclones with high wind speeds like 250 km/h, the most effective safety measures include early warning systems for evacuation and sturdy shelters to withstand the winds. Public awareness campaigns and timely IMD alerts are also crucial. Among the options, constructing cyclone-resistant buildings provides long-term protection against such high-speed winds.

Key Concept: Eye of the Cyclone

b) Low pressure with calm winds
[Solution Description]
The eye of a cyclone is the central region with the lowest pressure, characterized by calm winds and clear skies. This is because the air in the eye descends slightly, inhibiting cloud formation.

Key Concept: Structure of a cyclone: Eye of the cyclone

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that the eye of a cyclone is a region of low atmospheric pressure, which is true as per the syllabus. The reason explains that the calm wind in the eye is due to descending air that warms up and suppresses cloud formation, which is also correct and provides the explanation for why the eye has calm winds. Therefore, both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

Key Concept: Formation of Cyclones

c) By heating the air, causing it to rise and form a low-pressure zone
[Solution Description]
Cyclones form over warm ocean waters when the moist air above the heated water rises. As it rises, the water vapour condenses into raindrops, releasing heat, which warms the air further and causes it to rise more. This creates a low-pressure area that draws in surrounding air, forming a cyclonic system.

Key Concept: Cyclone Characteristics

b) Eye
[Solution Description]
The eye of the cyclone is the region of lowest pressure. It is characterized by calm winds, while the surrounding areas experience high-speed winds and heavy rainfall.

Key Concept: Agricultural impact, soil salinity

c) 80 cm
[Solution Description]
To solve:
1. Current salinity = 12 dS/m
2. Target salinity = 6 dS/m
3. Required reduction = 50%
4. Leaching requirement = $\frac{EC_i}{EC_d \times LF}$ where LF = leaching fraction
5. With 25\% efficiency, need to apply 4 times the theoretical amount
6. Root zone depth = 40 cm
7. Theoretical requirement = 40 cm × (50% reduction) = 20 cm
8. Actual requirement = 20 cm × 4 = 80 cm

Key Concept: Impact of Cyclones on Land, Flooding

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that storm surges from cyclones can flood coastal and inland areas due to high water walls. This is true because cyclones generate powerful winds that push seawater, creating storm surges as mentioned in the syllabus. The reason explains the mechanism behind storm surges, which aligns with the assertion. Hence, both are true, and the reason correctly explains the assertion.

Key Concept: Impact of Cyclones on Agriculture

c) Salt from seawater makes the soil less fertile, reducing crop yields.
[Solution Description]
When seawater floods agricultural land due to a cyclone, the high salt content in the water can make the soil less fertile. This reduces crop productivity for months or even years until the salt is washed away naturally or through human intervention such as soil treatment.

Key Concept: Cyclone preparedness

a) Emergency kit with essential items
[Solution Description]
People in cyclone-prone areas must keep an emergency kit with essential items ready to quickly move to a designated cyclone shelter when needed.

Key Concept: Cyclone monitoring, Prediction measures

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The Assertion states that IMD uses weather satellites to predict cyclone paths and intensity accurately. This is true as satellites provide critical data for monitoring cyclones. The Reason explains that satellites supply real-time data on atmospheric conditions necessary for tracking cyclones, which is also true. Moreover, the Reason correctly explains why satellites are used for cyclone prediction, as they provide essential parameters like wind speed and pressure. Hence, both statements are true, and the Reason is the correct explanation of the Assertion.

Key Concept: Eye of the cyclone

b) Low pressure and calm winds
[Solution Description]
The eye of a cyclone is the region of lowest pressure at the center, where winds are calm, while the surrounding regions experience strong winds and heavy rainfall.

Key Concept: Emergency preparedness, IMD alerts

c) Stay updated with IMD alerts, prepare emergency kits, and move to shelters when advised.
[Solution Description]
The first step is to stay updated with IMD warnings. Next, the community should ensure emergency kits are ready with essentials like food, water, and medicines. Finally, during the cyclone, they must move to designated shelters for safety. These steps align with the syllabus guidelines for cyclone preparedness.