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: Electromagnetism

b) Magnetic effect of electric current
[Solution Description]
The deflection of the compass needle is caused by the magnetic effect of electric current. According to Oersted’s discovery, an electric current produces a magnetic field around the conductor. This magnetic field interacts with the compass needle, causing it to deflect. The effect ceases when the current stops flowing.

Key Concept: Applications of Electromagnetism

c) Electromagnet
[Solution Description]
Devices such as electromagnets, electric motors, and loudspeakers use the principle of the magnetic effect of electric current. These devices rely on the interaction between the magnetic field produced by the current and permanent magnets or other magnetic materials to function.

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 an electric current flowing through a wire deflects a nearby compass needle, which is true as observed in Activity 4.1 where the compass needle deflected when the circuit was closed. The reason given is that a current-carrying conductor produces a magnetic field around it, which is also true and correctly explains why the compass needle gets deflected. The magnetic field generated by the current interacts with the compass needle's magnetic field, causing deflection. Thus, both Assertion and Reason are true, and Reason is the correct explanation of Assertion.

Key Concept: Electromagnets, Magnetic Effect of Electric Current

c) 4.8 T
[Solution Description]
The magnetic field ($B$) produced by an electromagnet depends on the current ($I$) and the number of turns per unit length ($n$). The relationship is given by:
$B = \mu n I$
Initially, $B_1 = 0.8$ T for $I_1 = 4$ A.
When the current is doubled ($I_2 = 8$ A) and the number of turns is tripled ($n_2 = 3n_1$), the new magnetic field ($B_2$) is:
$B_2 = \mu (3n_1)(8)$
Since $\mu$ and $n_1$ are constants, we can write:
$\frac{B_2}{B_1} = \frac{24n_1}{4n_1} = 6$
So, $B_2 = 6 \times 0.8 = 4.8$ T.

Key Concept: Magnetic Effect of Electric Current

c) The compass needle deflected when the circuit was closed or opened, indicating a magnetic field.
[Solution Description]
Hans Christian Oersted observed that when an electric current flows through a conductor, the needle of a magnetic compass placed nearby deflected. This deflection indicated the presence of a magnetic field around the current-carrying wire.

Key Concept: Magnetic Effect of Electric Current

b) The compass needle gets deflected.
[Solution Description]
When electric current flows through a wire, it produces a magnetic field around it. This magnetic field causes the compass needle to deflect from its original position. The deflection occurs because the compass needle is a tiny magnet and interacts with the magnetic field produced by the current-carrying wire.

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: 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: Electromagnetism, Magnetic effect of electric current

d) The current creates a magnetic field that magnetizes the nail temporarily.
[Solution Description]
When current flows through the wire wrapped around the iron nail, it creates a magnetic field around the wire. The iron nail becomes magnetized due to this magnetic field, behaving like a temporary magnet (electromagnet). When the current stops, the magnetic field disappears, and the nail loses its 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 placed near a current-carrying wire. This is true because, as observed in experiments, the current flowing through the wire creates a magnetic field around it. The reason explains that an electric current produces a magnetic field around the conductor. This is also true and directly explains why the compass needle deflects—the magnetic field of the current-carrying wire interacts with the magnetic needle. Hence, both are true, and the reason correctly explains the assertion.

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 field strength, Distance dependence

b) Becomes half
[Solution Description]
The magnetic field strength ($B$) around a straight current-carrying conductor is given by $B = \frac{\mu_0 I}{2 \pi r}$, where $r$ is the distance from the wire. If the distance $r$ is doubled, the magnetic field strength becomes $B' = \frac{\mu_0 I}{2 \pi (2r)} = \frac{B}{2}$. Thus, the magnetic field strength reduces to half its original value.

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: Compass needle deflection and electric current

b) The compass needle gets deflected perpendicular to the wire.
[Solution Description]
When an electric current flows through a wire, it creates a magnetic field around the wire. This magnetic field interacts with the compass needle (which is itself a tiny magnet), causing it to deflect from its original position. The needle aligns itself along the direction of the magnetic field produced by the current-carrying wire.

Key Concept: Direction of magnetic field, Current reversal

c) Deflects to the west
[Solution Description]
The direction of the magnetic field around a current-carrying wire reverses when the current direction is reversed. If the compass needle initially deflected to the east, reversing the current will cause it to deflect in the opposite direction, i.e., to the west.

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: 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: Assertion-Reason

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
According to Activity 4.2, when electric current flows through the coil, the iron nail becomes magnetized and attracts iron clips. When the current stops, the magnetic effect vanishes, and the clips fall down. This confirms that the Assertion is true. The Reason correctly explains why the electromagnet works—it behaves like a magnet only when current flows, which aligns with the observation. Therefore, both Assertion and Reason are true, and Reason correctly explains the Assertion.

Key Concept: Electromagnets, Magnetic Field Strength

d) The magnetic field strength will quadruple
[Solution Description]
The strength of an electromagnet depends on the current flowing through the coil and the number of turns. Doubling the number of turns increases the field strength proportionally. Connecting two cells in series doubles the voltage, which also increases the current (assuming negligible resistance). Thus, the combined effect is a fourfold increase in magnetic field strength.

Key Concept: Electromagnet Polarity

b) End A is the south pole
[Solution Description]
According to the principle of magnetism, unlike poles attract each other. If the north pole of the compass is attracted towards end A of the electromagnet, then end A must be the south pole. This is because opposite poles (North and South) attract each other.

Key Concept: Electromagnets and Magnetic Poles

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
When electric current flows through the coil of an electromagnet, it generates a magnetic field, making it behave like a magnet. This is why the electromagnet can attract iron clips. However, when the current is switched off, the magnetic field ceases to exist, and the electromagnet no longer exhibits magnetic properties. Therefore, both Assertion and Reason are true, and the Reason correctly explains the Assertion.

Key Concept: Factors Affecting Electromagnet Strength

c) Increasing the number of turns in the coil.
[Solution Description]
The strength of an electromagnet depends on the amount of current flowing through the coil and the number of turns in the coil. Increasing either the current or the number of turns strengthens the magnetic field. Using an iron core also enhances the magnetic effect.

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: Lifting Electromagnets - Principle

c) The electromagnet attracts iron or steel objects
[Solution Description]
When an electric current flows through the coil of a lifting electromagnet, it creates a magnetic field around it. This magnetic field attracts ferromagnetic materials like iron or steel. The strength of the magnet depends on the current. When the current is turned off, the magnetic field disappears, and the objects are released.

Key Concept: Lifting electromagnets, Magnetic effect of current

c) Increase the number of cells in the battery
[Solution Description]
To solve this question, recall that the strength of an electromagnet depends on:
1) The amount of electric current in the coil.
2) The number of turns in the coil.
3) The presence of an iron core.
Increasing the number of cells (which increases current), increasing the number of turns in the coil, or using a stronger iron core would make the electromagnet stronger. However, reversing the current direction only changes the polarity, not the strength.

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, Magnetic effect of current

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that reducing the number of turns in the coil decreases the lifting capacity of the electromagnet for a given current. This is true because the magnetic field strength ($B$) of an electromagnet depends on both the current ($I$) and the number of turns per unit length ($n$) in the coil, as given by $B = \mu_0 n I$, where $\mu_0$ is the permeability of free space. Thus, fewer turns result in a weaker magnetic field, reducing the lifting capacity. The reason correctly explains this relationship, stating that the magnetic field strength is directly proportional to the number of turns in the coil.

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: Practical applications, Safety

c) Nichrome wire has high resistance and a high melting point
[Solution Description]
Nichrome is an alloy with high resistivity, which means it offers high resistance to the flow of current. Due to its high resistance, it heats up quickly and can sustain high temperatures without melting, making it ideal for heating elements. It also has a high melting point and does not oxidize easily at high temperatures.

Key Concept: Concept: Heating Effect of Electric Current

d) Resistance in the wire converts electrical energy into heat energy.
[Solution Description]
When electric current flows through a conductor like nichrome wire, it faces resistance, which causes some electrical energy to be converted into heat. This heating effect occurs due to the material's resistivity. Nichrome has high resistance compared to other conductors, leading to more heat generation when current passes through it. Thus, the wire gets warm.

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, Material resistance

d) Nichrome wire; higher resistance to current flow
[Solution Description]
The heating effect of current depends on the resistance of the material. Nichrome has higher resistivity compared to copper. For the same length and thickness, resistance $R$ is given by $R = \rho \frac{L}{A}$, where $\rho$ is resistivity, $L$ is length, and $A$ is cross-sectional area. Since nichrome has higher $\rho$, it will resist current flow more, converting more electrical energy into heat energy. Thus, the nichrome wire heats up more.

Key Concept: Heating effect of electric current, Resistance

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The heating effect 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 ($\rho$) than copper, its resistance $R = \rho \frac{L}{A}$ is greater for the same dimensions (length $L$ and cross-sectional area $A$). Thus, for the same current, the heat produced in nichrome is higher due to its higher resistance. Both Assertion and Reason are true, and the Reason correctly explains the Assertion.

Key Concept: Current magnitude, Heating duration

c) Temperature increases four times due to squared current effect
[Solution Description]
The heat generated ($H$) in a conductor is directly proportional to the square of the current ($I$) and the resistance ($R$) for a given time ($t$), according to Joule's law: $H = I^2 R t$. When the voltage doubles, the current also doubles (assuming resistance remains constant as per Ohm’s law $V = IR$). Since $H \propto I^2$, doubling the current quadruples the heat produced, leading to a significantly higher temperature in the wire.

Key Concept: Heating Effect of Electric Current

b) Because of the conversion of electrical energy into heat energy due to resistance
[Solution Description]
When electric current flows through a conductor, it encounters resistance, which converts some electrical energy into heat energy. This is known as the heating effect of electric current.

Key Concept: Factors Affecting Heating

c) Color of the conductor
[Solution Description]
The heating effect depends on the current (I), resistance (R), and time (t) as per $H = I^2 R t$. The color of the conductor does not influence the heat produced

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: Heating effect applications, Safety

b) To prevent overheating and potential fires[Solution Description]Underrated components can overheat due to excessive current, leading to melting/fire. Properly rated components ensure safe operation by handling expected current without overheating, preventing energy loss and hazards.

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 flows through a conductor like nichrome, the resistance of the material causes some electrical energy to be converted into heat energy. This is called the heating effect of electric current. Nichrome has higher resistance than copper, so more heat is generated in nichrome for the same current. Thus, both assertion and reason are true, and the reason correctly explains why the nichrome wire gets hot.

Key Concept: Practical application of heating effect

b) Electrical energy is converted into heat energy.
[Solution Description]
When an electric current passes through the heating element (usually made of nichrome), the resistance of the wire converts electrical energy into heat energy due to the heating effect of current. This heat is then used to warm the base of the iron.

Key Concept: Heating effect of electric current

d) Nichrome wire has higher resistance than copper wire.
[Solution Description]
Nichrome wire is preferred over copper wire for heating devices because it has a higher resistance compared to copper wire of the same dimensions. The higher resistance causes more heat to be generated when current flows through it, making it suitable for heating applications.

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: Current, Heat energy relationship

b) It becomes one-fourth
[Solution Description]
The heat produced ($H$) is given by $H = I^2 R t$. Reducing the current to half ($I' = \frac{I}{2}$) affects the heat produced as $H' = (\frac{I}{2})^2 R t = \frac{1}{4} I^2 R t = \frac{H}{4}$. Thus, the heat reduces to one-fourth of the original value when current is halved.

Key Concept: Factors Affecting Heat Generation

d) The color of the wire
[Solution Description]
The heat generated in a wire due to electric current depends on the material's resistivity, length, cross-sectional area, current magnitude, and time. However, the color of the wire does not influence the heat generation process.

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 assertion states that the heating element in an electric iron is made of nichrome wire, which is true because nichrome is commonly used due to its high resistance and ability to produce substantial heat. The reason provided explains why nichrome is suitable for heating elements—its high resistance causes more heat generation when current flows through it, which directly justifies the assertion. Therefore, both statements are true, and the reason correctly explains the assertion.

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: 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: Basic Concept

c) They can be recharged and reused
[Solution Description]
Rechargeable batteries can be reused multiple times by recharging them, which reduces waste and saves money in the long run compared to single-use dry cells that must be disposed of after use.

Key Concept: Voltaic Cell and Dry Cell

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The Assertion is true as per section 4.3.1 and 4.3.2 - Voltaic cells indeed use a liquid electrolyte, whereas dry cells use a moist paste electrolyte. The Reason is also true, since the absence of liquid in dry cells makes them more portable and less prone to leakage or spillage compared to Voltaic cells. Moreover, the Reason correctly explains why dry cells are more portable, which is directly related to the nature of their electrolyte.

Key Concept: Dry cells, Rechargeable batteries

b) The chemical reactions in dry cells are irreversible
[Solution Description]
Dry cells use an irreversible chemical reaction where the electrolyte (a moist paste) reacts completely with the electrodes, depleting the reactants permanently. The zinc container corrodes, and the manganese dioxide gets reduced, leaving no way to reverse the reaction. In contrast, rechargeable batteries like lithium-ion cells use reversible reactions, allowing the original materials to be restored during recharging.

Key Concept: Voltaic cell, Electrolyte

c) Zinc oxidizes to form zinc ions in the electrolyte
[Solution Description]
In a voltaic cell, the metal at the negative electrode (anode) undergoes oxidation, losing electrons and dissolving into the electrolyte. Here, zinc acts as the anode since it is more reactive than copper. The chemical reaction at the anode is: $Zn \rightarrow Zn^{2+} + 2e^-$. The loss of mass occurs because zinc ions ($Zn^{2+}$) dissolve into the lemon juice electrolyte.

Key Concept: Electrode Polarity, Chemical Reaction

b) Zinc electrode because it undergoes oxidation
[Solution Description]
Zinc acts as the negative terminal because it is more reactive than copper. In the electrochemical series, zinc has a higher tendency to lose electrons and undergo oxidation compared to copper. When zinc reacts with the acidic lemon juice (electrolyte), it releases electrons that flow through the external circuit to the copper electrode (positive terminal). This electron flow constitutes the electric current.

Key Concept: Voltaic cell

c) Assertion is true, but Reason is false.
[Solution Description]
In a Voltaic cell, two electrodes of different metals are immersed in an electrolyte. Chemical reactions occur at the electrodes, leading to the generation of electricity. The assertion is true. The electrolyte facilitates the movement of ions, not electrons, so the reason is false because it incorrectly states that the electrolyte acts as a medium for electron flow.

Key Concept: Voltaic cell components

d) Two different metal plates with a conducting liquid
[Solution Description]
A Voltaic cell consists of two different metal electrodes and an electrolyte, which can be a weak acid or salt solution. The chemical reaction between these components generates electricity.
Copper and zinc are common electrode materials, while lemon juice or saltwater is used as the electrolyte.
Therefore, both electrodes and an electrolyte are necessary for a functional Voltaic cell.

Key Concept: Electrochemical reactions, Electrode potential

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
In a voltaic cell, the metal with the higher standard reduction potential tends to act as the positive electrode (cathode) because it has a greater tendency to gain electrons (undergo reduction). Copper has a standard reduction potential of $+0.34$ V, while zinc has $-0.76$ V. Since copper's potential is higher, it attracts electrons more strongly and becomes the cathode (positive terminal). Thus, both Assertion and Reason are true, and Reason correctly explains Assertion.

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: Terminal Materials in Dry Cell

c) Zinc container
[Solution Description]
The negative terminal of a dry cell is made of zinc. The zinc container itself serves as the negative terminal, while the carbon rod with a metal cap acts as the positive terminal.

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: 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: Future battery technology

c) Higher energy density and improved safety
[Solution Description]
Solid-state batteries offer three key advantages over liquid electrolyte batteries: 1) They are safer because they eliminate flammable liquid electrolytes that can cause fires. 2) They can potentially store more energy in the same space (higher energy density). 3) They typically have longer lifespans and can withstand more charge cycles. These characteristics would directly improve electric vehicle range (energy density), safety (solid electrolyte), and longevity (cycle life).

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: 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: 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 provided is also true because reusing batteries reduces wastage and leads to cost savings over time. Additionally, the reason correctly explains why rechargeable batteries are beneficial, directly linking their reusability to economic and environmental savings.

Key Concept: Voltaic Cell

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
A Voltaic cell produces electricity due to redox reactions occurring between the electrodes and the electrolyte. The electrolyte facilitates the movement of ions, which is essential for maintaining charge balance and allowing current to flow in the external circuit. Thus, both Assertion and Reason are true, and the Reason correctly explains the Assertion.

Key Concept: Voltaic cell, electrode potential, electrolyte

c) Reverse the connections of the LED
[Solution Description]
The LED may not glow because its polarity is reversed. According to the concept of voltaic cells, the copper electrode acts as the positive terminal and the iron nail as the negative terminal. If the longer lead (positive) of the LED is connected to the iron nail (negative terminal), the circuit will not work. Reversing the connections ensures that the positive terminal of the LED connects to the positive terminal (copper) of the battery, allowing current to flow and the LED to glow.

Key Concept: Voltaic Cell Functioning

c) Copper
[Solution Description]
In a Voltaic cell, copper often acts as the positive electrode due to its chemical properties, while metals like zinc or iron act as the negative electrode.

Key Concept: Electric Current Direction in Voltaic Cell

b) From the positive terminal to the negative terminal
[Solution Description]
The current flows from the positive electrode (cathode) to the negative electrode (anode) through the external circuit, while electrons move in the opposite direction inside the cell.

Key Concept: Rechargeable batteries

c) Lithium-ion battery
[Solution Description]
The lithium-ion (Li-ion) battery is the most common type of rechargeable battery found in almost all modern devices due to its efficiency, rechargeability, and widespread availability.

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: 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 a dry cell cannot be recharged due to irreversible reactions, which is correct. The Reason explains this irreversibility by stating the zinc container gets consumed, which is also true and directly explains why recharging is impossible. Both are correct, and Reason justifies Assertion.

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: Structure of Dry Cells, Working Principle

c) The gas bubbles increase internal resistance, reducing voltage output.
[Solution Description]
Hydrogen gas forms due to side reactions at the carbon rod (positive terminal). This gas buildup creates resistance, known as polarization, which reduces the efficiency and voltage output of the cell over time.

Key Concept: Chemical Reaction in Dry Cell

c) Zinc loses electrons to form zinc ions.
[Solution Description]
At the zinc electrode, oxidation occurs where zinc loses electrons to form zinc ions. The reaction is: $Zn \rightarrow Zn^{2+} + 2e^-$. This confirms that zinc acts as the negative terminal by releasing electrons.

Key Concept: Applications, Rechargeable Batteries

c) Rechargeable batteries reduce long-term costs and environmental impact.
[Solution Description]
Rechargeable batteries can be reused multiple times by recharging, which reduces long-term costs and environmental waste. Dry cells are single-use and would require frequent replacement, making them impractical for high-energy applications like electric vehicles.

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: 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, Electrolyte, Chemical Reactions

a) Electrons flow from zinc to copper; zinc oxidizes to $Zn^{2+}$; hydrogen gas forms at copper.
[Solution Description]
In a Voltaic cell with zinc and copper electrodes:
1. Zinc acts as the negative electrode (anode) because it is more reactive than copper. It loses electrons: $Zn \rightarrow Zn^{2+} + 2e^-$.
2. Copper acts as the positive electrode (cathode). The electrons released by zinc flow through the external circuit to the copper electrode, where they combine with hydrogen ions from the electrolyte: $2H^+ + 2e^- \rightarrow H_2(g)$.
3. The overall reaction involves zinc dissolving in the electrolyte and hydrogen gas forming at the copper electrode.

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 in Voltaic cell

b) Weak acid or salt solution[Solution Description]The electrolyte in a Voltaic cell is usually a weak acid or salt solution, such as sulfuric acid or saltwater.

Key Concept: Chemical Reaction in Voltaic Cells

b) Oxidation of zinc
[Solution Description]
In a voltaic cell, oxidation occurs at the anode. For example, zinc (Zn) loses electrons to form zinc ions ($\text{Zn}^{2+}$), as shown in the reaction:
$\text{Zn (s)} \rightarrow \text{Zn}^{2+} \text{(aq)} + 2e^-$

Key Concept: Educational Demonstrations

c) The conversion of chemical energy to electrical energy via redox reactions.
[Solution Description]
The lemon battery demonstrates how two dissimilar metals (such as zinc and copper) immersed in an electrolyte (lemon juice) produce a voltage due to redox reactions. It helps students understand the conversion of chemical energy to electrical energy in a simple setup.

Key Concept: Applications of Voltaic Cells

d) Providing backup power in small electronic gadgets
[Solution Description]
Voltaic cells are widely used in portable devices like torches, remote controls, and small electronic gadgets due to their ability to convert chemical energy into electrical energy.

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: 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 serves as the negative terminal (anode) in a dry cell because it undergoes oxidation, losing electrons: $\text{Zn} \rightarrow \text{Zn}^{2+} + 2\text{e}^-$. The reason correctly explains that the zinc container is the negative terminal due to this electrochemical reaction, making both statements true with a valid causal link.

Key Concept: Characteristics of Dry Cells

c) They cannot be recharged
[Solution Description]
One of the limitations of dry cells, as per the syllabus, is that they cannot be recharged. Once the reactants are exhausted, the cell becomes 'dead' and must be disposed of.

Key Concept: Working Principle

b) Positive terminal to negative terminal
[Solution Description]
According to the working principle of a dry cell, the current flows from the positive terminal (carbon rod) through the circuit to the negative terminal (zinc container). This is explicitly stated in the syllabus.

Key Concept: Construction of dry cells

b) Serves as the negative terminal and undergoes oxidation
[Solution Description]
In a dry cell, the zinc container serves as the anode (negative terminal). It undergoes oxidation, releasing electrons into the external circuit. The chemical reaction at the anode is: $Zn \rightarrow Zn^{2+} + 2e^-$. The zinc container also physically holds the electrolyte paste and other components.

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: 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: Dry Cells, Rechargeable Batteries

c) Ability to be recharged and reused multiple times
[Solution Description]
The main advantage of using a rechargeable lithium-ion battery over a dry cell is that it can be recharged and reused multiple times, reducing waste and cost over time. Dry cells are single-use and must be disposed of after depletion, whereas lithium-ion batteries can be recharged hundreds of times before wearing out.

Key Concept: Dry Cell Structure

d) It serves as the positive terminal
[Solution Description]
In a dry cell, the zinc container acts as the negative terminal while the carbon rod serves as the positive terminal. The carbon rod is surrounded by a moist paste-like electrolyte and helps in the flow of electrons to complete the circuit.

Key Concept: 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 reused multiple times, which is true as they are designed for repeated charging and discharging cycles. The reason explains that this reusability occurs due to the presence of materials enabling reversible chemical reactions, which is also true and directly explains why rechargeable batteries can be reused.

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: Rechargeable Batteries

c) Dispose of it at an e-waste recycling facility
[Solution Description]
Used rechargeable batteries should be disposed of at special e-waste recycling facilities to prevent environmental harm and allow material recycling, as mentioned in "Snapshots" and "A step further."

Key Concept: Rechargeable batteries, Environmental impact

c) Their materials can cause environmental harm if not recycled properly.
[Solution Description]
The syllabus highlights that lithium-ion batteries contain materials like lithium and cobalt, which are mined in limited parts of the world. These materials can cause environmental harm if not disposed of properly, as they may lead to fires or contaminate the environment. Recycling these batteries is crucial to prevent harm and reuse valuable materials.

Key Concept: Rechargeable batteries, Environmental impact

c) To prevent toxic metal pollution and conserve natural resources
[Solution Description]
Recycling lithium-ion batteries is crucial because they contain toxic heavy metals like cobalt, nickel, and lithium, which can leach into soil and water if disposed improperly. Moreover, recovering these valuable metals reduces the need for environmentally damaging mining operations while preventing hazardous waste accumulation.

Key Concept: Lithium-ion Batteries

a) Both Assertion and Reason are true, and Reason is the correct explanation of Assertion.
[Solution Description]
The assertion states that lithium-ion batteries are widely used in modern electronic devices due to their high energy density, which is true as mentioned in the syllabus. The reason provided is that high energy density allows these batteries to store more energy per unit mass, which is also true and correctly explains why lithium-ion batteries are preferred in electronic devices.

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: Types of 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 commonly used in electronic devices because they can be recharged multiple times. This is true as per the syllabus, which mentions lithium-ion batteries as the most common type of rechargeable battery found in almost all devices. The Reason states that lithium-ion batteries contain special metals like lithium and cobalt, which are scarce and require responsible recycling. This is also true as the syllabus highlights the limited availability of these metals and the need for recycling. However, the Reason does not explain why lithium-ion batteries are commonly used; it only provides additional information about their composition and environmental impact. Therefore, both statements are true, but the Reason is not the correct explanation of the Assertion.