Key Concept: Pressure, Force, Area

d) The pressure increases fivefold
[Solution Description]
The pressure exerted by an object is given by $Pressure = \frac{Force}{Area}$. Initially, the area in contact with the table is 2 m × 1 m = 2 $m^2$. So, the initial pressure is $\frac{100 N}{2 m^2} = 50 Pa$. When the block is rotated to stand on its shortest side (1 m), the new contact area becomes 2 m × 0.1 m = 0.2 $m^2$ (assuming thickness is 0.1 m). The new pressure is $\frac{100 N}{0.2 m^2} = 500 Pa$. Thus, the pressure increases.

Key Concept: Atmospheric Pressure, Rubber Sucker

d) 785 N
[Solution Description]
The suction force is due to the pressure difference between the inside and outside of the sucker. The area of the sucker is $\pi r^2$, where $r = 5$ cm = 0.05 m. So, area = $\pi (0.05)^2 ≈ 0.00785 m^2$. The force required to overcome atmospheric pressure is $Pressure × Area = 10^5 Pa × 0.00785 m^2 = 785 N$.

Key Concept: Wind pressure conceptual complexity

a) 100 Pa
[Solution Description]
Original pressure:
$P_{original} = \frac{800}{8} = 100 \text{ Pa}$
New billboard area = 4 m$^2$. If force scales with area, new force:
$F_{new} = 100 \times 4 = 400 \text{ N}$
Pressure on new billboard remains the same because:
$P_{new} = \frac{400}{4} = 100 \text{ Pa}$
Thus, the pressure tolerance required is unchanged.

Key Concept: Pressure Calculation

c) \(50\ \mathrm{N/m^2}\)
[Solution Description]
To find the pressure, use the formula $P = \frac{F}{A}$. Here, $F = 150$ N and A = 3 \(\mathrm{m}^2\)
Step 1: Divide the force by the area: $\frac{150}{3} = 50$.
Step 2: The unit of pressure is \(\mathrm{N/m^2}\), so the answer is \(50\ \mathrm{N/m^2}\).

Key Concept: Pressure Definition

c) Force applied per unit area
[Solution Description]
Pressure is defined as force per unit area. The formula is: $Pressure = \frac{Force}{Area}$.

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, Atmospheric Pressure, Liquid Pressure

b) 117600 N
[Solution Description]
Pressure at the base due to water column = $\rho gh = 1000 \times 9.8 \times 3 = 29400 \text{ Pa}$.
Area of the base = $2 \text{ m} \times 2 \text{ m} = 4 \text{ m}^2$.
Force on the base = Pressure $\times$ Area = $29400 \times 4 = 117600 \text{ N}$.

Key Concept: Pressure and Area Relationship

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that a sharp knife cuts better because it exerts more pressure. This is true since pressure ($P$) is calculated as $P = \frac{F}{A}$, where $F$ is force and $A$ is area. For the same force, reducing the area (sharp edge) increases pressure. The reason correctly explains the inverse relationship between pressure and area when force is constant. Thus, both assertion and reason are true, and the reason correctly explains the assertion.

Key Concept: Pressure and Area Relationship

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that a sharp knife cuts better due to the force being applied over a smaller area, which is true as per the syllabus examples (cutting with sharp knives). The reason correctly explains this by stating that pressure ($P = \frac{F}{A}$) is inversely proportional to the area - smaller area increases pressure, making cutting easier. Thus, both Assertion and Reason are true, and Reason correctly explains the Assertion.

Key Concept: Practical Example of Pressure

c) To increase the area of contact, reducing pressure
[Solution Description]
Placing a round piece of cloth under a heavy load increases the contact area between the load and the head. Pressure is given by $Pressure = \frac{Force}{Area}$, so increasing the area reduces the pressure experienced by the head, making it more comfortable to carry the load.

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 air exerts pressure on all objects, which is correct as per the syllabus (Key Concepts). The reason explains that atmospheric pressure results from the weight of air above a surface, which is also accurate. Furthermore, the reason correctly justifies why air exerts pressure on objects, as the weight of the air column creates this pressure.

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: Activity-Based Question

d) Air exerts greater pressure on the larger area of the unfolded sheet
[Solution Description]
Air exerts force on the surface area in contact. Since the unfolded sheet has a larger area than the folded one, the total force (and thus pressure) acting on it increases, requiring more effort to lift.

Key Concept: Atmospheric pressure, force calculation

d) 2,250 N
[Solution Description]
First, convert the area from \(\mathrm{cm}^2 \rightarrow \mathrm{m}^2\) : $15 \text{ cm} \times 15 \text{ cm} = 225 \text{ cm}^2 = 0.0225 \text{ m}^2$.
Atmospheric pressure is given as $100 \text{ kPa} = 100,000 \text{ Pa} = 100,000 \text{ N/m}^2$.
Force required to overcome atmospheric pressure is calculated using $F = P \times A$:
$F = 100,000 \text{ N/m}^2 \times 0.0225 \text{ m}^2 = 2,250 \text{ N}$.

Key Concept: Pressure units, conversion

c) 1,020 mb
[Solution Description]
Both hectopascal (hPa) and millibar (mb) are equal in magnitude: $1 \text{ hPa} = 1 \text{ mb}$.
Therefore, $1,020 \text{ hPa} = 1,020 \text{ mb}$.

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: Air Pressure Experiment

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that more effort is needed to lift the paper plate with an unfolded chart paper than a folded one, which matches observations from Activity 6.3. The reason explains this phenomenon by stating that air exerts pressure on the sheet's surface area, and since $\text{Pressure} = \frac{\text{Force}}{\text{Area}}$, a larger area increases the force exerted by air pressure. Therefore, both statements are true, and the reason correctly explains the assertion.

Key Concept: Directional pressure, Real-world application

c) Air moves from high-pressure to low-pressure regions
[Solution Description]
1) Air inside the balloon is at higher pressure than outside (atmospheric pressure).
2) According to the key concept, air moves from high-pressure to low-pressure regions.
3) The open mouth creates a path for air to escape until pressures equalize.
4) This demonstrates that air exerts pressure in all directions, including outward on the balloon walls.

Key Concept: SI Unit of Pressure

c) Pascal (Pa)
[Solution Description]
The SI unit of pressure is newton per square meter ($N/m^2$), also called pascal (Pa). Other units like millibar (mb) or hectopascal (hPa) are derived from it, where 1 mb = 100 Pa and 1 hPa = 100 Pa. The question tests recall of the fundamental unit.

Key Concept: Direction of Air Pressure

c) Air pressure acts uniformly in all directions
[Solution Description]
Air inside the balloon exerts pressure uniformly in all directions (a property of fluids/gases). This isotropic pressure causes the balloon's walls to stretch outward equally, leading to expansion in all directions. The explanation aligns with the concept that air pressure is not directional but acts omnidirectionally.

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: Pressure Exerted by Air

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The Assertion states that when air is blown between two inflated balloons, they move towards each other. This is true because, as demonstrated in Activity 6.6, blowing air between the balloons creates a low-pressure area between them. The higher air pressure outside the balloons then pushes them towards the low-pressure region, causing them to move closer.
The Reason correctly explains the Assertion, as it describes the phenomenon of high air pressure moving towards low air pressure, which causes the balloons to move towards each other. Therefore, both the Assertion and Reason are true, and the Reason is the correct explanation of the Assertion.

Key Concept: Pressure Exerted by Air

b) The balloon inflates because the air inside exerts pressure on its walls.
[Solution Description]
When air is blown into an uninflated balloon, the air exerts pressure on the inner walls of the balloon in all directions. This causes the balloon to expand uniformly as the rubber stretches to accommodate the increased pressure inside. The expansion continues until the internal air pressure balances with the elastic forces of the rubber.

Key Concept: Air pressure equilibrium, Direction of air flow

d) Air flows from balloon A to B until their pressures equalize.
[Solution Description]
The inflated balloon (A) has higher air pressure than the uninflated one (B). Air moves from high-pressure region (A) to low-pressure region (B) via the straw. This continues until the pressures in both balloons become equal, resulting in them attaining the same size. At equilibrium, the air flow stops because the pressure difference no longer exists.

Key Concept: Air Pressure

c) The balloon deflates as air escapes
[Solution Description]
When an inflated balloon is left open, the air inside escapes because the pressure inside the balloon is higher than the atmospheric pressure outside. The air moves from a region of high pressure (inside the balloon) to a region of low pressure (outside the balloon). This is why the balloon deflates.

Key Concept: Pressure and Area

b) 10 $N/m^2$
[Solution Description]
The pressure exerted can be calculated using the formula: $P = \frac{F}{A}$. Here, $F = 50\;N$ and $A = 5\;m^2$. Substituting these values into the formula gives:
$P = \frac{50}{5} = 10\;N/m^2$
Therefore, the pressure exerted is 10 $N/m^2$.

Key Concept: Pressure Difference

c) The difference in air pressure inside and outside the sucker creates a strong sticking force.
[Solution Description]
When the rubber sucker is pressed against a smooth surface, most of the air trapped inside its cup is pushed out. This reduces the internal air pressure compared to the atmospheric pressure outside. The higher external air pressure presses the sucker firmly onto the surface, making it difficult to pull off.

Key Concept: Assertion-Reason

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
When a sucker is pressed against a smooth surface, most of the air inside is expelled, creating a low-pressure region inside the sucker. The atmospheric pressure outside is much higher than the pressure inside the sucker, resulting in a net force pressing the sucker onto the surface. Thus, both Assertion and Reason are true, and Reason correctly explains the Assertion.

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: Formation of Wind, Pressure Difference, Land and Sea Breeze

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
During the day, land gets heated faster than water, causing the air above it to warm up and rise, creating a low-pressure area. The sea remains cooler, maintaining higher pressure. According to the principle of pressure difference, air flows from the high-pressure region (sea) to the low-pressure region (land), resulting in a sea breeze. The reason correctly explains the assertion because it highlights the fundamental principle that governs the movement of air, which is the pressure gradient.

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 wind moves from high pressure to low pressure, which is correct as per Activity 6.5 where air moved from the inflated balloon (high pressure) to the uninflated balloon (low pressure). The reason is also true because air flows to equalize the pressure difference, as observed when both balloons attained the same size and air flow stopped. Moreover, the reason correctly explains the assertion since the movement of wind due to pressure differences is a fundamental concept in wind formation.

Key Concept: Pressure difference and wind direction

c) Wind is generated
[Solution Description]
Air moves from a high-pressure region to a low-pressure region due to the pressure gradient force. This movement of air is what we perceive as wind. The greater the pressure difference, the stronger the wind speed.

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: Land and Sea Breeze

d) Low pressure develops over the land
[Solution Description]
During the day, land heats up faster than water, creating a low pressure area over the land. The cooler air from the high pressure region over the sea moves towards the land, resulting in a sea breeze.

Key Concept: Land and Sea Breeze

c) Because the sea is at a lower pressure than the land
[Solution Description]
At night, the land cools faster than the sea, resulting in higher pressure over the land compared to the sea. Air moves from the high-pressure land region to the low-pressure sea region, forming a land breeze.

Key Concept: Bernoulli's principle, Wind speed

c) 57.7 m/s
[Solution Description]
Using Bernoulli's equation, the pressure difference $\Delta P = \frac{1}{2} \rho v^2$. Convert $\Delta P$ to pascals: $1000 \text{ mb} - 980 \text{ mb} = 20 \text{ mb} = 2000 \text{ Pa}$. Rearranging for $v$: $v = \sqrt{\frac{2 \Delta P}{\rho}} = \sqrt{\frac{4000}{1.2}} \approx 57.7 \text{ m/s}$.

Key Concept: Pressure difference and wind speed

d) Higher pressure difference increases wind speed.
[Solution Description]
Wind speed depends on the pressure gradient (difference in pressure) between two regions. A larger pressure difference ($\Delta P$) results in a stronger force pushing the air from the high-pressure region to the low-pressure region, which increases the wind speed. Conversely, a smaller pressure difference leads to slower wind speeds.

Key Concept: Sea breeze and land breeze

b) Sea breeze
[Solution Description]
During the day, the land heats up faster than the sea, causing the warm air above the land to rise and create a low-pressure area. The cooler air from the sea (high-pressure area) moves towards the land, resulting in a sea breeze.

Key Concept: Sea breeze, Land breeze

c) Due to the differential heating and cooling rates of land and sea.
[Solution Description]
During the day, the land heats up faster than the sea, causing the air above the land to rise (creating low pressure). Cooler air from the sea moves towards the land (sea breeze). At night, the land cools faster than the sea, so the warmer air over the sea rises (low pressure), and cooler air from the land moves towards the sea (land breeze).

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: 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) Sea breeze occurs because the sea is cooler and has higher pressure compared to the land.
[Solution Description]
During the day, land heats up faster than the sea. The air above the land becomes warm and rises, creating a low-pressure area. As a result, cooler air from the high-pressure region over the sea moves towards the land, forming a sea breeze.

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: 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: Effect of high-speed winds

c) The pressure difference created by high-speed winds lifts the leaves.
[Solution Description]
High-speed winds create a low-pressure area above the leaves. The higher air pressure below the leaves pushes them upwards, lifting them into the air.

Key Concept: Pressure difference in storms

c) Low pressure outside the roof causes it to be pushed upwards by the higher internal pressure.
[Solution Description]
During a storm, high-speed winds reduce the air pressure above the roof. The higher air pressure inside the house exerts an upward force on the roof, causing it to be lifted or blown away. Balancing internal and external pressure by keeping windows and doors open can prevent this.

Key Concept: Bernoulli's principle, Airflow dynamics

c) Low pressure forms between them due to fast airflow
[Solution Description]
When air is blown between the balloons, the speed of airflow increases, creating a low-pressure region between the balloons (as per Bernoulli's principle). The surrounding higher-pressure air exerts a force on the outer surfaces of the balloons, pushing them towards each other. Hence, the movement occurs due to the pressure difference caused by high-speed airflow.

Key Concept: High-Speed Winds Result in Lowering of Air Pressure

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
According to the syllabus, high-speed winds blowing over a surface create a low-pressure area because the fast-moving air reduces the number of air molecules applying force per unit area. This explains why roofs may be blown off during storms when high-speed winds lower the pressure outside while higher pressure inside pushes upward. Therefore, the Assertion is true because high-speed winds indeed reduce air pressure, and the Reason correctly explains this phenomenon by describing how fast-moving air leads to fewer air molecules exerting pressure.

Key Concept: Pressure Difference Due to High-Speed Winds

b) The high pressure inside the house pushes the roof up as low pressure forms outside.
[Solution Description]
During storms, high-speed winds pass over the roof, reducing the air pressure above it. The higher air pressure inside the house pushes upwards on the roof due to this pressure difference. If the pressure difference is large enough, it can lift and blow the roof off. This demonstrates how high-speed winds create low-pressure areas.

Key Concept: Bernoulli's Principle, Air Pressure

c) They move towards each other due to the low pressure created between them
[Solution Description]
According to Bernoulli's principle, when air is blown between the two balloons, the speed of air increases in that space, creating a low-pressure region between them. The surrounding higher air pressure pushes the balloons toward each other. This demonstrates that high-speed winds result in reduced air pressure.

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, pressure difference

c) It reduces the pressure difference between the inside and outside of the house
[Solution Description]
High-speed winds create a low-pressure area above the roof due to Bernoulli's principle. If windows and doors are kept closed, the higher air pressure inside the house pushes upwards on the roof while the lower pressure outside pulls the roof upwards. This large pressure difference can cause the roof to blow off. Keeping windows and doors open allows wind to pass through the house, equalizing the pressure inside and outside, thus reducing the risk of roof damage.

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 air is blown between two inflated balloons, they move towards each other, which is observed in Activity 6.6. This happens because blowing air between the balloons increases wind speed in the gap, reducing air pressure (Bernoulli’s principle). The higher pressure outside then pushes the balloons together. The reason correctly explains why this occurs by linking high-speed wind to low pressure and the resulting pressure difference.

Key Concept: Observation of Balloons

c) The balloons move towards each other.
[Solution Description]
When air is blown between the balloons, a low-pressure area is created between them. The higher air pressure from the surrounding areas pushes the balloons towards each other. This demonstrates that high-speed winds result in lower air pressure.

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: Air Pressure, Bernoulli's Principle

c) The balloons will move towards each other at three times the original speed.
[Solution Description]
From the activity, we know that higher blowing force creates greater pressure difference, leading to faster movement of balloons. Since acceleration is directly proportional to the pressure difference, tripling the pressure difference from 5 Pa to 15 Pa will triple the acceleration. Therefore, new acceleration = 3 $\times$ 2 m/s$^2$ = 6 m/s$^2$.
The balloons will now move towards each other more rapidly.

Key Concept: High-speed winds and pressure difference

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
When high-speed winds blow over a house, they create a low-pressure area above the roof. Inside the house, the air pressure remains higher compared to the outside. This pressure difference exerts an upward force on the roof. If the roof is weak or not properly secured, it can be blown off due to this force. Therefore, both Assertion (A) and Reason (R) are true, and Reason (R) correctly explains Assertion (A).

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: Activity Observation

c) The balloons move towards each other faster.
[Solution Description]
Blowing harder increases the speed of air between the balloons, creating an even lower pressure area between them. The higher surrounding air pressure pushes the balloons closer together at a faster rate.

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: Charge Separation in Clouds

b) Positive and negative charges separate within the cloud
[Solution Description]
Strong winds blowing upwards and downwards cause rubbing between water droplets and ice particles, leading to the development of static electric charges. The positively charged lighter ice particles move to the upper part of the cloud, while the negatively charged heavier water droplets occupy the lower part, creating charge separation.

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 thunderstorms and lightning

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.
[Solution Description]
The assertion states that lightning occurs due to the sudden flow of charges when the insulating property of air breaks down, which is correct as per the syllabus. The reason mentions that rapid heating of air around lightning causes expansion, resulting in thunder, which is also true as per the syllabus. However, the reason does not explain why lightning occurs but instead explains the phenomenon of thunder, which is a consequence of lightning. Therefore, both are true, but the reason is not the correct explanation of the assertion.

Key Concept: Lightning Formation, Thunderstorms

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that lightning occurs when the charge buildup is sufficient to overcome air's insulating property, which is accurate as per the syllabus. The reason explains the mechanism where the negatively charged lower part of the cloud induces a positive charge on the ground, creating a potential difference that results in lightning. Since the reason correctly explains the cause of the phenomenon described in the assertion, both are true and the reason is the correct explanation.

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: 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: Cyclone formation, Pressure systems, Eye wall dynamics

c) Descending air in the eye inhibits cloud formation and wind activity.
[Solution Description]
The eye forms due to descending air, which suppresses cloud formation and reduces wind speed, creating a low-pressure center. Surrounding the eye is the eyewall, where rising warm moist air leads to intense thunderstorms and high-speed winds.

Key Concept: Safety Measures During Cyclones

d) To equalize air pressure inside and outside the house
[Solution Description]
Keeping doors and windows open allows wind to flow through the house, reducing the pressure difference between the inside and outside. This minimizes the risk of the roof being blown away due to high pressure inside.

Key Concept: Formation of Storms, Thunderstorms and Lightning

a) Warm air rises → Moisture condenses → Wind circulation → Charge separation → Lightning
[Solution Description]
First, warm moist air rises, creating a low-pressure area. Cooler air moves in to replace it, causing wind circulation. As the air rises, it cools, condenses into clouds, and forms water droplets. In thunderstorms, strong updrafts lift droplets to freezing heights, converting them to ice particles. Friction between these particles creates static charges, separating positive (top) and negative (bottom) charges in the cloud. When the charge difference becomes large enough, air's insulating property breaks down, causing a sudden discharge (lightning).

Key Concept: Charge Separation in Clouds

c) Friction between water droplets and ice particles creates opposite charges
[Solution Description]
Strong upward and downward winds cause friction between water droplets and ice particles, leading to static electric charges. Positively charged lighter ice particles move to the upper part of the cloud, while negatively charged heavier water droplets occupy the lower part. This results in charge separation.

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: 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: Lightning formation

b) When static charges accumulate sufficiently to break down the insulating property of air
[Solution Description]
Lightning occurs when the build-up of opposite charges becomes large enough to overcome the insulating property of air, causing a sudden discharge of electricity.

Key Concept: Static charge development within clouds leading to lightning

d) Assertion is false, but Reason is true.
[Solution Description]
The Assertion states that lightning occurs only when a cloud is negatively charged at the bottom and the ground is positively charged. This is false because lightning can also occur within a single cloud (intra-cloud lightning) or between two different clouds (inter-cloud lightning). The Reason, however, is true as it correctly describes the process of charge separation in clouds due to the rubbing of water droplets and ice particles from strong winds.

Key Concept: Static charge development in clouds

d) Strong winds causing rubbing between water droplets and ice particles
[Solution Description]
Inside a thundercloud, strong winds cause rubbing between water droplets and ice particles. The positively charged lighter ice particles move upward, while the negatively charged heavier water droplets settle at the lower part of the cloud, creating charge separation.

Key Concept: Lightning Conductor, Charge Transfer

c) It provides a path for charges to flow into the ground
[Solution Description]
A lightning conductor is a metallic rod with one end pointed and placed higher than the building's highest point. The other end is buried deep in the ground. When lightning strikes, the conductor provides an easy path for the electric charges to flow directly into the ground, preventing damage to the building.

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: Thunderstorm Formation, Charge Build-Up

c) Excessive build-up of electric charges
[Solution Description]
Normally, air acts as an insulator and prevents opposite charges from meeting. However, when the build-up of charges becomes very large, the insulating property of air breaks down, allowing a sudden flow of charges. This produces a bright flash of light known as lightning.

Key Concept: Thunder Formation

b) Rapid heating and expansion of air caused by lightning
[Solution Description]
Thunder is produced when lightning rapidly heats the surrounding air, causing it to expand explosively. This expansion creates a shockwave that manifests as a loud sound known as thunder.

Key Concept: Cyclone Formation and Characteristics

c) Assertion is true, but Reason is false.
[Solution Description]
The assertion states that the eye of a cyclone has calm winds and clear skies, which is true because it is a region of descending air that suppresses cloud formation. However, the reason claims that the eye forms due to subsidence of warm air, which is incorrect. The eye forms due to the centrifugal force balancing the pressure gradient force, resulting in minimal wind movement. Thus, the Assertion is true, but the Reason is false.

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: Cyclone dynamics, Coriolis effect

c) It would start rotating clockwise
[Solution Description]
Cyclones rotate counterclockwise in the Northern Hemisphere due to the Coriolis effect, which deflects moving air to the right. In the Southern Hemisphere, the Coriolis effect deflects moving air to the left, causing cyclones to rotate clockwise. Therefore, the cyclone's rotation would reverse direction upon crossing the equator.

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: 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: 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: 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: Energy release, Cyclone formation

c) It provides energy to sustain and intensify the cyclone.
[Solution Description]
When water vapor condenses into raindrops, latent heat is released into the atmosphere. This additional heat warms the surrounding air, causing it to rise further, reducing surface pressure, and intensifying the cyclone by drawing more air inward, thus sustaining the storm's energy.

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: Effects of Cyclones

c) Flooding caused by storm surges pushing seawater inland
[Solution Description]
Cyclones cause destructive effects such as storm surges, which push seawater inland, leading to flooding. Other impacts include heavy rainfall, landslides, blocked roads due to debris, power outages, and contamination of drinking water sources.

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 has calm weather conditions, which is true as the eye is known for its calm and clear skies. The reason explains that the eye has the lowest pressure, causing air to descend and suppress wind formation, which is also true. Furthermore, the reason correctly explains why the eye has calm weather conditions. Therefore, both the assertion and reason are true, and the reason is the correct explanation of the assertion.

Key Concept: Eye of the cyclone, High-speed winds

c) Wind speed increases to 220 km/h
[Solution Description]
The wind speed in a cyclone is driven by the pressure gradient force. A lower pressure in the eye means a steeper pressure gradient between the eye and the surrounding regions. This steeper gradient results in stronger winds. Since the pressure drops from 950 hPa to 930 hPa, the gradient increases, leading to higher wind speeds.

Key Concept: Impact of cyclones on land

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that cyclones cause extensive flooding in coastal areas due to storm surges, which is true because cyclones generate strong winds that push seawater inland, leading to flooding. The reason explains that storm surges occur when strong winds push seawater towards the shore, forming a wall of water that floods coastal areas. Both the assertion and reason are correct, and the reason accurately explains why cyclones lead to flooding through storm surges.

Key Concept: Impact of Cyclones

a) Flooding caused by storm surges
[Solution Description]
Cyclones generate strong winds that push ocean water towards the shore, creating a storm surge. This can flood coastal areas and even regions far inland. The flooding contaminates drinking water sources and damages farmland due to saltwater intrusion.

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 energy, atmospheric pressure

c) 0.167 m/s²
[Solution Description]
To solve:
1. Pressure difference = 1010 - 950 = 60 hPa = 6000 Pa
2. Radius = 30 km = 30,000 m
3. Pressure gradient force per unit mass = $\frac{\Delta P}{\rho \times r}$
4. Take air density $\rho$ ≈ 1.2 kg/m³
5. Calculation: $\frac{6000}{1.2 \times 30000} = \frac{6000}{36000} ≈ 0.167 m/s²$

Key Concept: Cyclone Monitoring

b) Weather monitoring satellites
[Solution Description]
Weather monitoring satellites provide real-time data on cloud patterns, wind speeds, and pressure systems, enabling accurate tracking and prediction of cyclone paths. Doppler radar and weather stations also contribute, but satellites offer the most comprehensive coverage.

Key Concept: Role of satellites, IMD warnings

d) Satellites provide continuous, wide-area coverage essential for tracking cyclones over oceans.
[Solution Description]
Satellites provide real-time data on atmospheric conditions over vast oceanic areas where ground-based weather stations cannot be installed. They monitor cloud patterns, wind speeds, and sea surface temperatures, enabling accurate prediction of cyclone formation and movement. The India Meteorological Department (IMD) uses this satellite data to issue timely warnings.

Key Concept: Cyclone Formation

c) Warm ocean waters with temperatures above $26.5^{\circ}$C
[Solution Description]
A cyclone forms when warm ocean water heats the air above it, causing it to rise and create a low-pressure zone. As the moist air rises, condensation releases heat, further lowering pressure and drawing in surrounding air. The Earth's rotation causes the air to spin, forming a cyclone. Therefore, warm ocean waters are crucial for cyclone formation.

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.