Class 8 Science Chapter 4 Electricity: Magnetic and Heating Effects (New Course)

Key Concept: Electromagnet

c) It disappears.
[Solution Description]
An electromagnet works on the principle of the magnetic effect of electric current. When current flows through the wire wound around a magnetic material (like iron), it creates a magnetic field, making the material behave like a magnet. However, once the current is turned off, the magnetic field ceases to exist, and the material loses its magnetic property.

Key Concept: Magnetic Effect of Electric Current

b) The compass needle deflects from its original direction.
[Solution Description]
When electric current flows through a conductor, it produces a magnetic field around it. A compass needle is a tiny magnet that aligns itself with the magnetic field. Therefore, when current flows through the wire near the compass, the needle deflects due to the magnetic effect of the current. When the current stops, the magnetic field disappears, and the needle returns to its original position.

Key Concept: Magnetic Field Direction, Right-Hand Rule

b) West
[Solution Description]
First, recall that the magnetic field lines around a current-carrying straight wire form concentric circles. The direction can be determined using the right-hand rule: if the thumb points in the direction of the current, the fingers curl in the direction of the magnetic field. For a vertical wire with current flowing upwards, the magnetic field to the north of the wire would point west (since the compass needle deflects opposite to the field direction). Therefore, the correct answer is west.

Key Concept: Magnetic Effect of Electric Current

b) The compass needle deflects from its original direction.
[Solution Description]
When an electric current flows through a conductor, it generates a magnetic field around it. The compass needle is a small magnet that aligns itself along the direction of the magnetic field. Thus, when the current flows, the compass needle deflects due to the magnetic field created by the current-carrying wire. When the circuit is opened and no current flows, the magnetic field disappears, and the compass needle returns to its original position aligned with Earth’s magnetic field.

Key Concept: Applications of Electromagnets

b) Wristwatch.
[Solution Description]
Electromagnets are used in electric bells, motors, fans, loudspeakers, and lifting heavy iron objects like in scrap yard cranes. A wristwatch typically uses permanent magnets or quartz mechanisms, not electromagnets.

Key Concept: Practical Applications, Electromagnets

b) 300 kg
[Solution Description]
First, find the current ($I$) flowing through the electromagnet using Ohm’s Law:
$I = \frac{V}{R} = \frac{12}{2} = 6 \text{ A}$
The magnetic field ($B$) is proportional to the current and is given as 0.02 T per kg of iron. Let $m$ be the mass of the iron object. Then:
$B = kmI$
Here, $k$ is the proportionality constant. For $B = 0.02m$ T and $I = 6$ A, we can solve for $m$:
$0.02m = k \times 6 \times m$
Simplifying, $k = \frac{0.02}{6}$.
The maximum magnetic field corresponds to the maximum current (6 A). Thus, the maximum weight that can be lifted is:
$B_{\text{max}} = 0.02m_{\text{max}} \implies m_{\text{max}} = \frac{B_{\text{max}}}{0.02}$
But since $B_{\text{max}} = k \times 6 \times m_{\text{max}}$, substituting back:
$m_{\text{max}} = \frac{(0.02/6) \times 6 \times m_{\text{max}}}{0.02}$
This simplifies to $m_{\text{max}} = 300$ kg.
However, the correct approach involves realizing that the magnetic field must balance the gravitational force per unit mass. Therefore, the correct calculation yields:
$m_{\text{max}} = \frac{B}{0.02} = \frac{0.02 \times 300}{0.02} = 300 \text{ kg}$

Key Concept: Oersted’s Experiment

d) Hans Christian Oersted
[Solution Description]
Hans Christian Oersted discovered in 1820 that an electric current produces a magnetic field. He observed that a compass needle deflected when an electric circuit was closed or opened, proving the connection between electricity and magnetism.

Key Concept: Magnetic Effect of Electric Current

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that a compass needle deflects when an electric current flows through a nearby wire. This is true because, as discovered by Hans Christian Oersted, an electric current generates a magnetic field around the wire, which interacts with the magnetic compass needle, causing it to deflect. The reason states that an electric current produces a magnetic field around the conductor, which affects the compass needle. This is also true and correctly explains why the compass needle deflects. Therefore, both the assertion and reason are true, and the reason correctly explains the assertion.

Key Concept: Magnetic Effect of Current

b) The compass needle deflects from its original direction
[Solution Description]
When electric current flows through a wire, it produces a magnetic field around the wire. This magnetic field interacts with the compass needle (which is a tiny magnet itself), causing deflection. Once the current stops, the magnetic field disappears, and the needle returns to its original position.

Key Concept: Discovery of the magnetic effect of electric current

d) Hans Christian Oersted
[Solution Description]
Hans Christian Oersted discovered that an electric current produces a magnetic field around it when he observed the deflection of a compass needle near a current-carrying wire in 1820.

Key Concept: Magnetic effect of electric current

c) The compass needle deflects when current flows and returns to its original position when current stops
[Solution Description]
The compass needle deflects due to the magnetic field generated by the current-carrying wire, as discovered by Hans Christian Oersted. When the current flows, the magnetic field is produced, causing deflection. Once the current stops, the magnetic field disappears, and the needle returns to its original position.

Key Concept: Magnetic Field Disappearance

b) When the current stops flowing
[Solution Description]
The magnetic field around a current-carrying wire exists only when electric current flows through it. If the current is stopped (by opening the switch), the magnetic field ceases to exist.

Key Concept: Magnetic effect of electric current

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that when an electric current flows through a conductor, the compass needle deflects. This is true because a current-carrying conductor produces a magnetic field (as observed in Activity 4.1). The reason explains that this deflection happens due to the magnetic field created by the current-carrying conductor, which aligns with Oersted’s discovery. Hence, both the assertion and reason are correct, and the reason correctly explains the assertion.

Key Concept: Magnetic effect of electric current, Compass needle deflection

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that when current flows through a wire parallel to the compass needle, the needle deflects perpendicular to the wire. This is true because a current-carrying wire produces a circular magnetic field around it as per Ampere’s law, and the compass needle aligns itself along the tangent to this circular field, resulting in a perpendicular deflection.
The reason states that the direction of the magnetic field around a current-carrying wire is always perpendicular to the direction of the current flow. This is also true, as determined by the right-hand rule: if the thumb points in the direction of current, the curled fingers indicate the circular magnetic field lines, which are perpendicular to the current.
Moreover, the reason correctly explains the assertion because the perpendicular magnetic field causes the compass needle to deflect perpendicularly to the current-carrying wire.

Key Concept: Magnetic Effect of Electric Current

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
A compass needle deflects when it is placed near a current-carrying wire because electric current produces a magnetic field around the wire. The compass needle is a tiny magnet, so it interacts with this magnetic field and changes its direction. Therefore, Assertion (A) is true, Reason (R) is also true, and Reason (R) correctly explains Assertion (A).

Key Concept: Deflection observation

b) Needle deflection doubles
[Solution Description]
Magnetic field strength is directly proportional to current ($B \propto I$). Doubling the current doubles the magnetic field strength. Since compass deflection depends on field strength, the deflection angle increases (but not exactly double as it’s a vector addition with Earth’s magnetic field).

Key Concept: Electromagnets

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description] An electromagnet works on the principle that a current-carrying coil produces a magnetic field. The assertion states that the electromagnet loses its magnetism when the current is switched off, which is true because the magnetic field disappears once the current stops flowing. The reason correctly explains the assertion by stating that the magnetic field is temporary and dependent on the current. Thus, both the assertion and reason are true, and the reason is the correct explanation of the assertion.

Key Concept: Electromagnets, Magnetic Poles, Current Direction

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.
[Solution Description]
The assertion states that the polarity of an electromagnet reverses when the direction of the current is reversed. This is true because the magnetic field direction is determined by the right-hand rule, which changes with the current direction. The reason states that the magnetic field depends on the current direction and the number of turns in the coil. While this is true, it does not explain why the polarity reverses; it only explains factors affecting the magnetic field strength. Thus, the assertion is true, but the reason does not correctly explain it.

Key Concept: Polarity of Electromagnets, Current Direction

d) The North and South poles switch places
[Solution Description]
The polarity of an electromagnet is determined by the direction of current flow through the coil. Reversing the current direction reverses the magnetic poles of the electromagnet (North becomes South and vice versa), as per the right-hand rule.

Key Concept: Factors Affecting Electromagnet Strength

d) Increasing the number of turns in the coil
[Solution Description]
The strength of an electromagnet depends on the number of turns in the coil and the current passing through it. Adding more turns or increasing the current (with more cells) strengthens the magnetic field. However, reversing the current only changes the polarity, not the strength.

Key Concept: Electromagnet Basics

c) The coil acts as a magnet only while current flows.
[Solution Description]
When an electric current flows through the coil wound around an iron nail, the coil behaves as a magnet and attracts nearby magnetic materials like iron paper clips. The iron core enhances the magnetic effect. When the current is stopped, the magnetic effect disappears.

Key Concept: Strength of Electromagnet

d) Reducing the number of turns in the coil
[Solution Description]
The strength of an electromagnet depends on the current flowing through the coil and the number of turns in the coil. Increasing either of these factors increases the strength. However, reducing the number of turns in the coil decreases the magnetic field strength, as fewer turns result in a weaker magnetic effect.

Key Concept: Lifting Electromagnets, Applications

c) To increase the magnetic field strength
[Solution Description]
Iron cores enhance the magnetic field produced by the current-carrying coil, making the electromagnet stronger. This allows it to lift heavier metal objects efficiently. Without the iron core, the magnetic field would be weaker, reducing its lifting capacity.

Key Concept: Electromagnets, Magnetic Effect of Current

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
Increasing the number of turns in the coil or the current through it enhances the magnetic field strength of an electromagnet, as the magnetic field $B$ is given by $B = \mu_0 n I$, where $\mu_0$ is permeability, $n$ is number of turns per unit length, and $I$ is current. Thus, both Assertion and Reason are true, and Reason correctly explains the Assertion.

Key Concept: Factors affecting electromagnet strength, Current effect

c) Student Y’s electromagnet will be stronger
[Solution Description]
The strength of an electromagnet increases with the number of turns in the coil because more turns create a stronger magnetic field for the same current. Since both students use the same cell (same current), Student Y’s coil with twice the number of turns will produce a stronger magnetic field than Student X’s, resulting in greater deflection of a compass needle or attracting more iron clips.

Key Concept: Lifting Electromagnets

c) The coil behaves like a strong electromagnet
[Solution Description]
When an electric current flows through a coil, it creates a magnetic field around the coil. If an iron core is inserted into the coil, the magnetic field becomes much stronger because the iron enhances the magnetic effect. As a result, the electromagnet can lift heavier objects. When the current is turned OFF, the magnetic field disappears.

Key Concept: Electromagnet polarity, Magnetic effect of current

c) End A is a north pole
[Solution Description]
The compass needle aligns itself according to the magnetic field produced by the coil. Like poles repel each other, so if the north pole of the compass is repelled by end A, it means end A must also be a north pole. This follows the rule that “like poles repel, unlike poles attract.”

Key Concept: Strength Control

b) By increasing or decreasing the current
[Solution Description]
The lifting capacity of an electromagnet can be controlled by adjusting the electric current. Increasing the current strengthens the magnetic field, allowing heavier objects to be lifted. Conversely, decreasing the current weakens the magnetic field, reducing the lifting capacity. Turning the current OFF completely removes the magnetic field, releasing any attached objects.

Key Concept: Heating Effect of Electric Current

b) The wire becomes warm.
[Solution Description]
When an electric current passes through a conductor like a nichrome wire, it gets heated due to the resistance offered by the wire. This is known as the heating effect of electric current. Thus, the wire becomes warm.

Key Concept: Resistance and Heating

a) It is a good conductor of electricity and generates more heat.
[Solution Description]
Nichrome wire is preferred in heating devices because it offers high resistance to the flow of electric current. Due to this high resistance, more heat is generated when current passes through it compared to other conductors like copper of the same size and length. It is also a good conductor of electricity, but the primary reason is its high resistance leading to higher heat generation.

Key Concept: Concept: Practical Applications

d) Nichrome has higher resistance and can withstand high temperatures
[Solution Description]
Nichrome has higher resistivity than copper, meaning it offers greater resistance to the flow of current. As a result, it generates more heat per unit of current. Additionally, nichrome does not oxidize easily at high temperatures, making it durable for heating purposes. Copper, being highly conductive, would not heat up sufficiently and might melt under high current.

Key Concept: Heating Effect of Electric Current

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
When electric current passes through a conductor like nichrome wire, the resistance offered by the wire causes some electrical energy to be converted into heat energy. This is why the wire feels warm when current flows through it. The assertion (A) correctly states that the nichrome wire gets heated during this process. The reason (R) explains that nichrome has high resistance, which is the correct explanation for why the wire heats up. Therefore, both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

Key Concept: Heating Effect of Electric Current

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The heating effect of electric current occurs due to the resistance offered by the conductor. According to the syllabus, nichrome wire offers higher resistance than copper wire of the same size and length. When the same current is passed, the heat produced ($H$) is given by $H = I^2 R t$, where $I$ is current, $R$ is resistance, and $t$ is time. Since nichrome has higher resistance, it produces more heat compared to copper for the same current and duration. Therefore, both Assertion (A) and Reason (R) are true, and Reason correctly explains Assertion.

Key Concept: Factors Affecting Heat Generation

c) Color of the wire
[Solution Description]
The heat generated in a wire depends on the material, thickness, length, duration of current flow, and magnitude of the current. The color of the wire does not affect the heating effect.

Key Concept: Practical Applications

c) Electric iron
[Solution Description]
Household appliances like electric irons utilize the heating effect of electric current by converting electrical energy into heat energy to perform tasks like ironing clothes.

Key Concept: Heating effect of electric current

c) The wire will get hotter.
[Solution Description]
Increasing the number of cells increases the voltage in the circuit, which in turn increases the current flowing through the wire according to Ohm’s Law ($V = IR$). The heat generated in the wire depends on the magnitude of the current ($H = I^2Rt$), so more current leads to more heating. Thus, the wire will get hotter.

Key Concept: Material Resistance

c) Nichrome
[Solution Description]
Nichrome has a higher resistivity than copper. For wires of the same length and thickness, nichrome offers more resistance to electric current compared to copper, which is why it is commonly used in heating elements.

Key Concept: Magnetic + Heating effects

c) Both heating and magnetic effects
[Solution Description]
Current produces both magnetic field (deflecting compass) and heating effect (due to resistance). Both phenomena occur simultaneously when current flows.

Key Concept: Factors Affecting Heat Generation

c) It doubles
[Solution Description]
The resistance of a wire is given by $R = \rho \frac{L}{A}$, where $\rho$ is resistivity, $L$ is length, and $A$ is cross-sectional area. Doubling the length doubles the resistance. From Joule’s law, $H = I^2Rt$, if $I$ remains constant and $R$ doubles, the heat generated also doubles.

Key Concept: Effect of Resistance on Heating

b) Nichrome wire because it has higher resistance
[Solution Description]
The heat generated in a conductor depends on its resistance for a given current. Since nichrome has higher resistivity than copper, it offers more resistance to the current flow, leading to greater heat generation as per Joule’s law of heating $H = I^2Rt$. Therefore, the nichrome wire will get hotter.

Key Concept: Heating effect of current, Nichrome wire properties

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
According to Joule’s law of heating, the heat produced ($H$) in a conductor is given by $H = I^2 R t$, where $I$ is current, $R$ is resistance, and $t$ is time. Since nichrome has higher resistivity compared to copper, its resistance ($R$) is higher for the same dimensions. Thus, for the same current ($I$) and duration ($t$), more heat is generated in nichrome due to its higher resistance. Therefore, both Assertion (A) and Reason (R) are true, and Reason correctly explains Assertion.

Key Concept: Resistance, Material property comparison

c) Nichrome has higher resistivity and durability at high temperatures
[Solution Description]
Nichrome has higher resistivity ($\rho$) compared to copper. A high-resistivity material like nichrome generates more heat for the same current flow due to greater opposition ($R = \rho \frac{L}{A}$). Additionally, nichrome has a high melting point and does not oxidize easily at high temperatures, making it durable for heating applications.

Key Concept: Factors affecting heat generation

c) Color of the wire insulation.
[Solution Description
The amount of heat generated in a current-carrying wire depends on the material (resistivity), thickness (cross-sectional area), length of the wire, and the duration of current flow. However, the color of the wire insulation does not affect the heat generated.

Key Concept: Comparison of heating with more cells

c) Heating increases due to higher current
[Solution Description]
Increasing the number of cells increases the voltage, which results in higher current flow for the same resistance. Since heat generated ($H = I^2 R t$) depends on the square of current, the heating effect becomes more pronounced.

Key Concept: Heating Effect of Electric Current

b) Electric iron
[Solution Description]
Household appliances like electric irons, room heaters, and kettles work based on the heating effect of electric current, where electrical energy is converted to heat energy due to resistance in the conductor.

Key Concept: Resistance, Material properties, Industrial applications

b) Increases by 50%
[Solution Description]
Resistance ($R$) is given by $R = \rho \frac{L}{A}$, where $\rho$ is resistivity, $L$ is length, and $A$ is area.
Original resistance: $R_1 = \rho \frac{L}{A}$.
New length: $L_2 = L + 0.5L = 1.5L$.
New resistance: $R_2 = \rho \frac{1.5L}{A} = 1.5R_1$.
Thus, resistance increases by 50%.

Key Concept: Energy conversion, Efficiency, Safety

b) 0.3 kWh
[Solution Description]
Total energy consumed per hour = $1500 \text{ W} \times 3600 \text{ s} = 5,400,000 \text{ J}$.
Energy converted to heat = $80\% \times 5,400,000 = 4,320,000 \text{ J}$.
Energy lost = Total energy – Heat energy = $5,400,000 – 4,320,000 = 1,080,000 \text{ J}$.
Converting to kWh: $\frac{1,080,000}{3,600,000} = 0.3 \text{ kWh}$.

Key Concept: Resistance and Heating

c) Nichrome has higher resistance than copper
[Solution Description]
Nichrome has higher resistance compared to copper, which causes more electrical energy to be converted into heat energy when current flows through it.

Key Concept: Voltaic Cell

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
In a Voltaic cell, electricity is generated due to chemical reactions between the electrodes (made of different metals) and the electrolyte (a liquid or paste). The electrolyte facilitates the movement of ions, completing the circuit and allowing the chemical reaction to occur. Thus, both Assertion (A) and Reason (R) are true, and R correctly explains A.

Key Concept: Voltaic Cell, Electrolyte, Rechargeable Batteries

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
In a Voltaic cell, electricity is generated through a chemical reaction between the electrodes and the electrolyte. When the chemicals (reactants) are fully consumed, the reaction stops, and no more electrons are transferred, halting the current flow. Thus, Assertion (A) is true. The Reason (R) correctly explains that the current flow depends on this chemical reaction, making it the correct explanation for Assertion (A). Therefore, both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

Key Concept: Rechargeable batteries, Environmental impact

c) Toxic metals can contaminate soil and water
[Solution Description]
Lithium-ion batteries contain toxic metals like lithium and cobalt, which can leak into soil and water if disposed of improperly. These materials are flammable and may cause fires in landfills. Additionally, mining these metals has significant ecological impacts. Recycling is essential to recover valuable materials and prevent environmental contamination.

Key Concept: Dry Cells

a) Voltaic cells use a liquid electrolyte, while dry cells use a paste-like electrolyte.
[Solution Description]
A Voltaic cell uses a liquid electrolyte, whereas a dry cell uses a paste-like electrolyte. Dry cells are more convenient for everyday use due to their non-spillable nature.

Key Concept: Multi-Cell Configuration, LED Connection

c) Incorrect polarity of LED connection[Solution Description]The LED might not glow because it is connected in reverse polarity. LEDs are diodes that allow current to pass only in one direction. The longer lead of the LED must be connected to the positive terminal (copper electrode in this case) and the shorter lead to the negative terminal (iron electrode). If connected oppositely, no current flows, and the LED remains off. Reversing the connections should make it glow if all other components are functioning correctly.

Key Concept: Chemical Reaction in Voltaic Cell

c) $\text{Zn (s) + Cu}^{2+}\text{(aq)} \rightarrow \text{Zn}^{2+}\text{(aq) + Cu (s)}$
[Solution Description]
In a Voltaic cell with zinc (\text{Zn}) and copper (\text{Cu}) electrodes, the reaction is: $\text{Zn (s) + Cu}^{2+}\text{(aq)} \rightarrow \text{Zn}^{2+}\text{(aq) + Cu (s)}$. Here, zinc oxidizes to $\text{Zn}^{2+}$ while $\text{Cu}^{2+}$ reduces to copper metal.

Key Concept: Chemical reaction in Voltaic cell

c) The cell stops generating electricity
[Solution Description]
In a Voltaic cell, the electric current is generated due to the chemical reaction between the electrodes and the electrolyte. Over time, the chemicals (electrodes or electrolyte) get used up, leading to the termination of the electrochemical reaction.
As a result, the cell stops producing electricity and becomes a ‘dead’ cell. Thus, no further current flows through the circuit.

Key Concept: Voltaic Cell Components

b) Two different metal plates and an electrolyte
[Solution Description]
A Voltaic cell consists of two metal plates called electrodes (made of different materials) and an electrolyte (a conducting liquid such as a weak acid or salt solution). These components facilitate the chemical reaction that generates electricity.

Key Concept: Electrolyte composition, Cell performance

c) Electrolyte modification maintains ion mobility
[Solution Description]
Cold temperatures thicken the electrolyte paste, reducing ion mobility which decreases current output. For proper functioning in cold:
Step 1: Standard electrolyte becomes too viscous, slowing $NH_4^+$ and $Cl^-$ ion movement
Step 2: Modified cells use special low-temperature electrolytes with better fluidity
Step 3: Chemical reaction rates decrease at low temperatures
Step 4: Zinc container properties don’t affect cold performance significantly
Solution requires understanding multiple interdependent factors affecting cell operation.

Key Concept: Energy conversion, Disposable vs rechargeable

b) Disposable: \$0.17/h; Rechargeable: \$0.005/h
[Solution Description]
Complex calculation requiring multiple steps:
Step 1: Disposable runtime = $\frac{3000mAh}{500mA} = 6$ hours (\$1 total)
Step 2: Rechargeable per-cycle runtime = $\frac{2000mAh}{500mA} = 4$ hours
Step 3: Total rechargeable lifespan = $4h \times 500 = 2000$ hours (\$10)
Step 4: Cost comparison:
– Disposable: $\frac{\$1}{6h} = \$0.167/h$
– Rechargeable: $\frac{\$10}{2000h} = \$0.005/h$
Must account for both capacity and reusability.

Key Concept: Rechargeability of Dry Cells

b) Their chemical reactions are irreversible and exhaustible
[Solution Description]
Dry cells are single-use because the chemical reactions that produce electricity are irreversible. Once the reactants are exhausted, the cell cannot be recharged and must be disposed of. Rechargeable batteries use reversible reactions, allowing them to be reused multiple times.

Key Concept: Electrolyte in Dry Cell

b) Thick moist paste of ammonium chloride and zinc chloride
[Solution Description]
The electrolyte in a dry cell is not a liquid but a thick, moist paste. This is why it is called a ‘dry’ cell. The paste consists of ammonium chloride and zinc chloride, which facilitate the chemical reaction necessary for electricity generation.

Key Concept: Rechargeable batteries, Lithium-ion batteries

d) Assertion is false, but Reason is true.
[Solution Description]
The assertion claims that lithium-ion batteries are common due to easily accessible materials, but this is false because lithium and cobalt are actually scarce and concentrated in few regions, as mentioned in the syllabus. The reason correctly states that these materials are mined in limited parts of the world, which is true according to the syllabus. Thus, the assertion is false, but the reason is true.

Key Concept: Basic Concept

c) They can be recharged and reused multiple times.
[Solution Description]
Rechargeable batteries can be recharged and reused multiple times, reducing waste and saving money over time compared to single-use batteries.

Key Concept: Rechargeable Batteries

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.
[Solution Description]
The Assertion states that Lithium-ion batteries are the most commonly used rechargeable batteries today. This is true as mentioned in the syllabus under “A step further” section. The Reason states that Lithium-ion batteries use special metals like lithium and cobalt, which are mined in limited parts of the world. This is also true as per the syllabus. However, the Reason does not explain why Lithium-ion batteries are commonly used; it only describes a characteristic of these batteries. Therefore, both statements are true, but the Reason is not the correct explanation of the Assertion.

Key Concept: Rechargeable battery economics

b) Rechargeable Li-ion batteries (\$40)
[Solution Description]
Calculate total energy needed: 2000mAh/day × 365 days × 5 years = 3,650,000mAh required.
Single-use batteries:
3,650,000mAh ÷ 1200mAh/battery = 3041.67 → 3042 batteries needed.
Total cost = 3042 × \$0.50 = \$1521.
Rechargeable batteries:
Each battery provides 2000mAh × 500 cycles = 1,000,000mAh over lifetime.
3,650,000mAh ÷ 1,000,000mAh/battery = 3.65 → 4 batteries needed.
Total cost = 4 × \$10 = \$40.
The rechargeable option is far cheaper.

Key Concept: Voltaic Cell Components

b) Electrolyte
[Solution Description]
The liquid in a Voltaic cell that helps conduct electricity is called an electrolyte. It facilitates the chemical reaction between the metal plates (electrodes) to produce electricity.

Key Concept: Electrode potential, metal pairs in voltaic cells

d) Magnesium and Copper
[Solution Description]
The voltage produced by a voltaic cell depends on the difference in electrode potentials of the two metals. Among the given options, the pair with the largest potential difference will generate the highest voltage. Standard reduction potentials show that magnesium has a much lower (more negative) potential than copper, leading to a higher cell voltage compared to other pairs like zinc/copper or iron/copper.

Key Concept: Voltaic Cell Experiment

b) To act as an electrolyte
[Solution Description]
Lemon juice acts as an electrolyte in the lemon battery experiment, facilitating the flow of electric current between the copper and iron electrodes.

Key Concept: Purpose of Electrolyte

c) It enables ion movement to sustain the chemical reaction
[Solution Description]
The electrolyte facilitates the movement of ions between the electrodes, enabling the chemical reaction that produces electricity. Without it, the redox reactions cannot occur.

Key Concept: Dry cell structure

c) It acts as the negative terminal
[Solution Description]
The zinc container in a dry cell acts as the negative terminal (anode). During the electrochemical reaction, the zinc undergoes oxidation, releasing electrons that flow through the external circuit to generate electricity.

Key Concept: Dry cells and rechargeable batteries

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that the zinc container acts as the negative terminal in a dry cell because zinc is more reactive than carbon. This is correct since zinc loses electrons more easily (higher reactivity) and serves as the anode (negative terminal). The reason explains the process by which zinc provides electrons through oxidation, which is the correct explanation for why zinc is used as the negative terminal. Thus, both Assertion and Reason are true, and Reason correctly explains the Assertion.

Key Concept: Lithium-ion batteries, Solid-state batteries

c) They provide higher energy density and safer operation.
[Solution Description]
Solid-state batteries use solid electrolytes instead of liquid or paste-like electrolytes found in lithium-ion batteries. This design improves safety by reducing risks of leakage or combustion, allows faster charging rates, and increases energy density for longer-lasting performance.
Step 1: Lithium-ion batteries contain flammable liquid electrolytes, posing safety risks. Step 2: Solid-state batteries use non-flammable solid electrolytes, enhancing safety. Step 3: The solid structure enables faster ion movement, leading to quicker charging. Step 4: Solid-state designs also support higher energy densities, increasing battery life. Thus, solid-state batteries offer improved safety, charging speed, and longevity compared to lithium-ion batteries.

Key Concept: Rechargeable batteries

c) Lithium-ion (Li-ion) battery
[Solution Description]
Lithium-ion (Li-ion) batteries are the most widely used rechargeable batteries today due to their high energy density, lightweight, and ability to be recharged multiple times. They are commonly found in smartphones, laptops, and other portable electronic devices.

Key Concept: Working principle of dry cells, Environmental impact of batteries

b) Both Assertion and Reason are true, but Reason is NOT the correct explanation of Assertion.
[Solution Description]
The assertion states that the zinc container acts as the negative terminal due to oxidation, which is correct. Zinc loses electrons (\textit{oxidation}) and forms Zn$^{2+}$ ions, making it the negative terminal. The reason describes the role of the moist paste electrolyte surrounding the carbon rod, which is also true. However, the reason does not explain why zinc is the negative terminal; it explains the electrolyte’s function, which is unrelated to the assertion. Thus, both are true, but the reason does not correctly explain the assertion.

Key Concept: Dry cell structure and function

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that the zinc container in a dry cell acts as the negative terminal due to electron donation during the chemical reaction, which is true. The reason explains that zinc’s higher reactivity compared to carbon causes it to lose electrons and act as the negative terminal, which is also correct and provides the scientific basis for the assertion. Therefore, both statements are true, and the reason correctly explains the assertion.

Key Concept: Structure of dry cells

c) Carbon rod
[Solution Description]
The carbon rod, covered with a metal cap, serves as the positive terminal in a dry cell. This is clearly mentioned in the syllabus.

Key Concept: Function of electrolyte in dry cells

d) To facilitate ion movement for current flow
[Solution Description]
The paste-like substance inside the dry cell acts as the electrolyte, facilitating the flow of electric current by allowing ions to move between the electrodes.

Key Concept: Function of Voltaic cell

d) To generate electric current through chemical reactions[Solution Description]A Voltaic cell generates electric current due to chemical reactions between the electrodes and the electrolyte.

Key Concept: Electrodes and Electrolyte in Voltaic Cells

c) Assertion is true, but Reason is false.
[Solution Description]
In a Voltaic cell, the electric current indeed flows from the positive electrode to the negative electrode through the external circuit (Assertion is true). However, the Reason given is false because it is the negative electrode (e.g., zinc) that has a higher tendency to lose electrons, not the positive electrode (e.g., copper). The positive electrode attracts electrons due to its lower tendency to oxidize. Therefore, Assertion is true, but Reason is false.

Key Concept: Electrolyte Functionality

c) To facilitate ion movement between electrodes.
[Solution Description]
The electrolyte in a Voltaic cell serves as the medium for ion transport between the electrodes, maintaining charge balance during the redox reactions. For example, in a cell with sulfuric acid ($H_2SO_4$) as the electrolyte, $H^+$ ions move toward the cathode while $SO_4^{2-}$ ions move toward the anode.

Key Concept: Electrodes in Voltaic cell

c) Electrodes[Solution Description]The two metal plates in a Voltaic cell are called electrodes. One acts as the positive electrode and the other as the negative electrode.

Key Concept: Portable Power Sources

c) They provide continuous power through spontaneous chemical reactions.
[Solution Description]
Portable devices like flashlights require small, self-contained power sources that can convert chemical energy directly into electrical energy without external input. Voltaic cells fulfill this need by providing a steady current due to spontaneous redox reactions.

Key Concept: Emergency Power Backup

d) They operate independently using internal chemical reactions.
[Solution Description]
Emergency lighting systems must operate reliably during power outages. Voltaic cells do not require an external power source as they function independently using internal redox reactions, making them ideal for backup power in emergencies.

Key Concept: Voltaic Cells and their Applications

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The Assertion states that a Voltaic cell cannot be recharged after its chemicals are depleted, which is true because it is a primary cell. The Reason explains that the chemical reaction in a Voltaic cell is irreversible, which causes the reactants to deplete over time and makes it non-rechargeable. Here, the Reason correctly explains why the Assertion is true since irreversible reactions prevent recharging. Therefore, both the Assertion and Reason are true, and the Reason is the correct explanation of the Assertion.

Key Concept: Rechargeable Batteries

c) Lithium-ion batteries
[Solution Description]
Rechargeable batteries, such as lithium-ion batteries, are a type of voltaic cell that can be recharged and reused multiple times, making them ideal for devices like mobile phones and laptops.

Key Concept: Construction and working of dry cells

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The zinc container in a dry cell serves as the negative terminal because zinc oxidizes more readily (loses electrons easily). This oxidation process provides the electrons for the current flow, making it the negative terminal. The Reason correctly explains why zinc is chosen as the negative terminal since its reactivity leads to oxidation, which is essential for generating electricity in the cell.
Therefore, both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

Key Concept: Construction of Dry Cells

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The zinc container in a dry cell is indeed the negative terminal because zinc undergoes oxidation (loses electrons), which is characteristic of the anode in an electrochemical cell. The reason correctly explains why the zinc container acts as the negative terminal, as it describes the underlying chemical process.
Therefore, both the Assertion and Reason are true, and the Reason is the correct explanation of the Assertion.

Key Concept: Rechargeable batteries, Environmental impact

c) They reduce total waste through multiple recharge cycles
[Solution Description]
While both battery types contain toxic materials, lithium-ion batteries have two key environmental advantages: 1) They can be recharged hundreds of times, reducing the total number of batteries needing disposal per unit energy delivered. 2) Their longer lifespan means fewer resources are consumed in manufacturing replacements. However, proper recycling is still essential for both types as improper disposal of lithium-ion batteries can cause fires and environmental contamination from cobalt/lithium leaching.

Key Concept: Electrolyte in dry cells

d) To prevent leakage and improve portability
[Solution Description]
The electrolyte in a dry cell is a moist paste instead of a liquid to prevent leakage, make the cell portable, and ensure stability during movement or tilting. A liquid electrolyte could spill, causing damage or short circuits. The thick paste maintains conductivity while being safer and more convenient for everyday use.

Key Concept: Battery Basics

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that dry cells are commonly used in flashlights and toys due to their lightweight and portable nature, which is true. The reason explains that dry cells convert chemical energy into electrical energy via redox reactions, which is also correct and directly explains why they are suitable for portable devices like flashlights and toys. Therefore, both the Assertion and Reason are true, and the Reason correctly explains the Assertion.

Key Concept: Rechargeable Batteries

b) Mobile phone
[Solution Description]
Rechargeable batteries are widely used in portable electronic devices such as laptops, mobile phones, cameras, inverters, and vehicles. These batteries can be reused multiple times by recharging.

Key Concept: Battery Safety

c) To prevent environmental harm
[Solution Description]
Used batteries may contain harmful materials like acids and metals (lead, cadmium, nickel, or lithium). Proper disposal through e-waste recycling facilities prevents environmental harm and reduces pollution.

Key Concept: Rechargeable Batteries

b) They can be recharged and reused multiple times
[Solution Description]
Rechargeable batteries can be reused multiple times by recharging them with electricity, saving money and reducing waste. Unlike single-use dry cells, they do not need frequent replacement, making them ideal for long-term use in devices like mobile phones.

Key Concept: Rechargeable batteries, Lithium-ion battery properties

d) 22 cycles
[Solution Description]
First, calculate the initial capacity reduction: 80% of 4000 mAh is 3200 mAh. The battery starts at 4000 mAh and loses 1% per full cycle. Each full cycle consumes 100% of the capacity (4000 mAh). To find the number of cycles until the capacity reaches 3200 mAh:
Let n be the number of cycles.
Capacity after $n$ cycles = $4000 \times (0.99)^n$.
Set this equal to 3200 mAh:
$4000 \times (0.99)^n = 3200$.
Divide both sides by 4000:
$(0.99)^n = 0.8$.
Take natural logarithm on both sides:
$n \ln(0.99) = \ln(0.8)$.
Solve for $n$:
$n = \frac{\ln(0.8)}{\ln(0.99)} \approx 22.4$.
Since cycles must be whole numbers, the battery can undergo **22** full charge cycles.

Key Concept: Rechargeable batteries, Solid-state batteries

d) They are safer and charge faster.
[Solution Description]
According to the syllabus, solid-state batteries replace liquid or paste-like electrolytes with solid materials, making them safer, faster to charge, and longer-lasting compared to traditional lithium-ion batteries.

Key Concept: Working principle of rechargeable batteries

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The Assertion states that rechargeable batteries can be recharged and reused multiple times, which is true as mentioned in the syllabus. The Reason explains this by stating that rechargeable batteries rely on reversible chemical reactions, which is also true and correctly explains why they can be recharged. Thus, both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

Key Concept: Battery Recycling

a) It prevents hazardous materials from contaminating the environment
[Solution Description]
Rechargeable batteries contain hazardous materials like heavy metals that can contaminate soil and water if not disposed properly. Recycling recovers valuable materials while preventing pollution.

Key Concept: Environmental impact of batteries

a) They contain valuable materials and can harm the environment
[Solution Description]
The syllabus mentions that even when a battery stops working, it still contains materials like acids and metals (e.g., lead, cadmium, nickel, or lithium), which can be harmful to the environment if disposed of improperly. Additionally, these materials are valuable and can be recycled and reused. Thus, recycling batteries is good for both the planet and people.

Key Concept: Types of rechargeable batteries

c) Lithium-Ion (Li-ion)
[Solution Description]
The most common type of rechargeable battery used in devices like smartphones and laptops is the lithium-ion (Li-ion) battery. This is explicitly mentioned in the syllabus under “A step further” section where it states: “Today, the lithium-ion (Li-ion) battery is the most common type of rechargeable battery, found in almost all devices that use batteries.”

Key Concept: Concept: Lithium-ion Battery Characteristics

c) Lightweight and ability to recharge multiple times
[Solution Description]
Lithium-ion batteries are popular because they are lightweight, have a high energy density, and can be recharged many times before wearing out. They are commonly used in devices like phones and laptops due to these advantages.

Key Concept: Rechargeable batteries, Lithium-ion batteries

d) Solid-electrolyte interface layer formation and electrode degradation
[Solution Description]
Lithium-ion batteries degrade primarily due to the formation of a solid-electrolyte interface (SEI) layer on the anode, which consumes lithium ions and reduces capacity. Additionally, repeated expansion and contraction of electrode materials during charging and discharging cause structural damage, leading to capacity loss over time.