Electrostatics

This type asked 12 times: May 2021 S1, 4 May 2023 S1, 19 Apr 2025 S1, 21 Apr 2025 S2, 23 Apr 2025 S1, 11 Apr 2026 S1, 13 Apr 2026 S1, 16 Apr 2026 S2, 19 Apr 2026 S1, 12 May 2026 S1, 13 May 2026 S2, 15 May 2026 S2. This one: 15 May 2026 S2 See all 12 of this type

This type asked 7 times: 2 May 2023 S1, 11 May 2024 S1, 12 May 2024 S2, 20 Apr 2025 S1, 25 Apr 2025 S1, 17 Apr 2026 S2, 18 Apr 2026 S2. This one: 18 Apr 2026 S2 See all 7 of this type

125

Three point charges Q, $+2q$ and $+q$ are placed at the vertices of a right-angled isosceles triangle of length $\sqrt{2}a$ as shown in figure. The net electrostatic potential energy of the configuration is zero, if Q is equal to

1. A.
   $-\dfrac{1}{2\sqrt{3}}q$
2. B.
   $-\dfrac{\sqrt{2}}{3}q$
3. C.
   $-\dfrac{\sqrt{3}}{2}q$
4. D.
   $-\sqrt{\dfrac{2}{3}}q$

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This type asked 7 times: 9 May 2023 S2, 16 May 2023 S1, 9 May 2024 S1, 22 Apr 2025 S1, 15 Apr 2026 S1, 17 Apr 2026 S1, 18 Apr 2026 S2. This one: 18 Apr 2026 S2 See all 7 of this type

This type asked 6 times: 4 May 2023 S1, 11 May 2024 S2, 11 Apr 2026 S1, 13 Apr 2026 S2, 15 May 2026 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 6 of this type

This type asked 6 times: 12 May 2024 S1, 13 May 2024 S2, 25 Apr 2025 S1, 17 Apr 2026 S2, 18 Apr 2026 S2, 15 May 2026 S2. This one: 15 May 2026 S2 See all 6 of this type

127

Four capacitors each of $16\ \mu F$ are connected as shown. The capacitance between points $A$ and $B$ is (in $\mu F$)

1. A.
   $4$
2. B.
   $16$
3. C.
   $32$
4. D.
   $64$

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This type asked 6 times: 3 May 2023 S1, 11 May 2024 S1, 13 Apr 2026 S2, 18 Apr 2026 S2, 20 Apr 2026 S2, 15 May 2026 S2. This one: 15 May 2026 S2 See all 6 of this type

This type asked 6 times: 4 May 2023 S2, 10 May 2023 S2, 15 May 2023 S2, 13 May 2024 S2, 20 Apr 2026 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 6 of this type

126

A charge $10\ \mu C$ exists at the centre of a square. The work done in moving a $2\ \mu C$ point charge from corner A to corner B of a square ABCD is

1. A.
   zero
2. B.
   $5$ J
3. C.
   $2$ J
4. D.
   $20$ J

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This type asked 6 times: 10 May 2023 S1, 15 May 2023 S1, 16 May 2023 S1, 19 Apr 2025 S1, 17 Apr 2026 S2, 14 May 2026 S2. This one: 14 May 2026 S2 See all 6 of this type

125

Two particles of charges $q_1 = 8q$ and $q_2 = -2q$ are placed as shown in figure. At what point away from $q_2$ on x-axis can a proton be placed placed so that it is in equilibrium?

1. A.
   $x = 2L$
2. B.
   $x = 2.5L$
3. C.
   $x = 3L$
4. D.
   $x = L$

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This type asked 6 times: 11 May 2024 S1, 22 Apr 2025 S2, 19 Apr 2026 S2, 12 May 2026 S1, 13 May 2026 S1, 13 May 2026 S2. This one: 13 May 2026 S2 See all 6 of this type

Asked 5 times: 16 May 2023 S2, 20 Apr 2025 S1, 25 Apr 2025 S1, 25 Apr 2025 S2*, 19 Apr 2026 S1 (* = numbers or wording changed that year) See all 5 times it was asked