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Page 1 Q1: Four identical thin, square metal sheets, S 1, S 2, S 3, and S 4, each of side a are kept parallel to each other with equal distance d ( « a) between them, as shown in the gure. Let C 0 = ( e 0a²) / d, where e 0 is the permittivity of free space. Match the quantities mentioned in List-I with their values in List-II and choose the correct option. (a) P ? 3; Q ? 2; R ? 4; S ? 5 (b) P ? 2; Q ? 3; R ? 2; S ? 1 (c) P ? 3; Q ? 2; R ? 4; S ? 1 (d) P ? 3; Q ? 2; R ? 2; S ? 5 [JEE Advanced 2024 Paper 1] Ans: (c) Page 2 Q1: Four identical thin, square metal sheets, S 1, S 2, S 3, and S 4, each of side a are kept parallel to each other with equal distance d ( « a) between them, as shown in the gure. Let C 0 = ( e 0a²) / d, where e 0 is the permittivity of free space. Match the quantities mentioned in List-I with their values in List-II and choose the correct option. (a) P ? 3; Q ? 2; R ? 4; S ? 5 (b) P ? 2; Q ? 3; R ? 2; S ? 1 (c) P ? 3; Q ? 2; R ? 4; S ? 1 (d) P ? 3; Q ? 2; R ? 2; S ? 5 [JEE Advanced 2024 Paper 1] Ans: (c) Page 3 Q1: Four identical thin, square metal sheets, S 1, S 2, S 3, and S 4, each of side a are kept parallel to each other with equal distance d ( « a) between them, as shown in the gure. Let C 0 = ( e 0a²) / d, where e 0 is the permittivity of free space. Match the quantities mentioned in List-I with their values in List-II and choose the correct option. (a) P ? 3; Q ? 2; R ? 4; S ? 5 (b) P ? 2; Q ? 3; R ? 2; S ? 1 (c) P ? 3; Q ? 2; R ? 4; S ? 1 (d) P ? 3; Q ? 2; R ? 2; S ? 5 [JEE Advanced 2024 Paper 1] Ans: (c) Single Correct Type Q1. A container has a base of ???? ???? × ?? ???? and height ???? ???? , as shown in the figure. It has two parallel electrically conducting walls each of area ???? ???? × ???? ???? . The remaining walls of the container are thin and non-conducting. The container is being filled with a liquid of dielectric constant 3 at a uniform rate of ?????? ???? ?? ?? -?? . What is the value of the capacitance of the container after 10 seconds? [Given: Permittivity of free space ?? ?? = ?? × ???? -???? ?? ?? ?? -?? ?? -?? , the effects of the non-conducting walls on the capacitance are negligible] A. ???????? B. ???????? C. ???????? D. ?????????? [JEE Advanced 2023 Paper 1 Online] Ans: (B) Page 4 Q1: Four identical thin, square metal sheets, S 1, S 2, S 3, and S 4, each of side a are kept parallel to each other with equal distance d ( « a) between them, as shown in the gure. Let C 0 = ( e 0a²) / d, where e 0 is the permittivity of free space. Match the quantities mentioned in List-I with their values in List-II and choose the correct option. (a) P ? 3; Q ? 2; R ? 4; S ? 5 (b) P ? 2; Q ? 3; R ? 2; S ? 1 (c) P ? 3; Q ? 2; R ? 4; S ? 1 (d) P ? 3; Q ? 2; R ? 2; S ? 5 [JEE Advanced 2024 Paper 1] Ans: (c) Single Correct Type Q1. A container has a base of ???? ???? × ?? ???? and height ???? ???? , as shown in the figure. It has two parallel electrically conducting walls each of area ???? ???? × ???? ???? . The remaining walls of the container are thin and non-conducting. The container is being filled with a liquid of dielectric constant 3 at a uniform rate of ?????? ???? ?? ?? -?? . What is the value of the capacitance of the container after 10 seconds? [Given: Permittivity of free space ?? ?? = ?? × ???? -???? ?? ?? ?? -?? ?? -?? , the effects of the non-conducting walls on the capacitance are negligible] A. ???????? B. ???????? C. ???????? D. ?????????? [JEE Advanced 2023 Paper 1 Online] Ans: (B) Volume of dielectric filled in 10sec = 250 × 10 = 2500 cm 3 h × 50 × 5 = 2500 ? h = 10 cm ?? 1 = ?? 0 ?? 1 ?? , ?? 2 = ?? 0 ?? 2 ?? ?? ?? 1 = 50 × ( 50 - h) ?? 2 = 50 × h ?? eq = ?? 1 + ?? 2 = ?? 0 50( 50 - h) cm 2 5 cm + 3 × ?? 0 × 50 × h 5 cm = ?? 0 [ 50 × 40 5 + 3 × 50 × 10 5 ] × 10 -2 = 7?? 0 = 63 × 10 -12 = 63pF Page 5 Q1: Four identical thin, square metal sheets, S 1, S 2, S 3, and S 4, each of side a are kept parallel to each other with equal distance d ( « a) between them, as shown in the gure. Let C 0 = ( e 0a²) / d, where e 0 is the permittivity of free space. Match the quantities mentioned in List-I with their values in List-II and choose the correct option. (a) P ? 3; Q ? 2; R ? 4; S ? 5 (b) P ? 2; Q ? 3; R ? 2; S ? 1 (c) P ? 3; Q ? 2; R ? 4; S ? 1 (d) P ? 3; Q ? 2; R ? 2; S ? 5 [JEE Advanced 2024 Paper 1] Ans: (c) Single Correct Type Q1. A container has a base of ???? ???? × ?? ???? and height ???? ???? , as shown in the figure. It has two parallel electrically conducting walls each of area ???? ???? × ???? ???? . The remaining walls of the container are thin and non-conducting. The container is being filled with a liquid of dielectric constant 3 at a uniform rate of ?????? ???? ?? ?? -?? . What is the value of the capacitance of the container after 10 seconds? [Given: Permittivity of free space ?? ?? = ?? × ???? -???? ?? ?? ?? -?? ?? -?? , the effects of the non-conducting walls on the capacitance are negligible] A. ???????? B. ???????? C. ???????? D. ?????????? [JEE Advanced 2023 Paper 1 Online] Ans: (B) Volume of dielectric filled in 10sec = 250 × 10 = 2500 cm 3 h × 50 × 5 = 2500 ? h = 10 cm ?? 1 = ?? 0 ?? 1 ?? , ?? 2 = ?? 0 ?? 2 ?? ?? ?? 1 = 50 × ( 50 - h) ?? 2 = 50 × h ?? eq = ?? 1 + ?? 2 = ?? 0 50( 50 - h) cm 2 5 cm + 3 × ?? 0 × 50 × h 5 cm = ?? 0 [ 50 × 40 5 + 3 × 50 × 10 5 ] × 10 -2 = 7?? 0 = 63 × 10 -12 = 63pF Multiple Correct Type JEE Advanced 2023 Paper 1 Online Q2. In a circuit shown in the figure, the capacitor ?? is initially uncharged and the key ?? is open. In this condition, a current of ?? ?? flows through the ???? resistor. The key is closed at time ?? = ?? ?? . Which of the following statement(s) is(are) correct? [Given: ?? -?? = ?? . ???? ] A. The value of the resistance ?? is ???? . B. For ?? < ?? ?? , the value of current ?? ?? is ?? ?? . C. At ?? = ?? ?? + ?? . ?? ?? ?? , the current in the capacitor is ?? . ?? ?? . D. For ?? ? 8, the charge on the capacitor is ???? ?? ?? . Ans: (A,B,C,D) At ?? < ?? 0Read More
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FAQs on JEE Advanced Previous Year Questions (2021 - 2024): Electrostatic Potential & Capacitance - Physics for JEE Main & Advanced
| 1. What is the formula for electrostatic potential due to a point charge? |  |
Ans. The electrostatic potential \( V \) due to a point charge \( Q \) at a distance \( r \) from the charge is given by the formula:
\[ V = \frac{kQ}{r} \]
where \( k \) is the Coulomb's constant (\( k \approx 8.99 \times 10^9 \, \text{N m}^2/\text{C}^2 \)).
| 2. How do you calculate the capacitance of a parallel plate capacitor? | |
Ans. The capacitance \( C \) of a parallel plate capacitor is calculated using the formula:
\[ C = \frac{\varepsilon A}{d} \]
where \( \varepsilon \) is the permittivity of the dielectric material between the plates, \( A \) is the area of one of the plates, and \( d \) is the distance between the plates.
| 3. What is the relationship between electric field and electrostatic potential? | |
Ans. The electric field \( E \) is related to the electrostatic potential \( V \) by the equation:
\[ E = -\nabla V \]
In simpler terms, the electric field is the negative gradient of the potential. This means that the electric field points in the direction of decreasing potential.
| 4. What happens to the capacitance of a capacitor if the distance between the plates is doubled? | |
Ans. If the distance \( d \) between the plates of a capacitor is doubled, the capacitance \( C \) is halved. This is because capacitance is inversely proportional to the distance between the plates:
\[ C = \frac{\varepsilon A}{d} \]
| 5. How can the energy stored in a capacitor be calculated? | |
Ans. The energy \( U \) stored in a capacitor can be calculated using the formula:
\[ U = \frac{1}{2} C V^2 \]
where \( C \) is the capacitance and \( V \) is the voltage across the capacitor.
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