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Electrostatic Potential and Capacitance · Question 7

JEE Main 2026 (Online) 4th April Evening ShiftMCQMedium📈 Topic in 13% papers+4−1
1

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Choose the correct answer from the options given below :

  1. Both (A) and (R) are true and (R) is the correct explanation of (A)
  2. Both (A) and (R) are true but (R) is NOT the correct explanation of (A)
  3. (A) is true but (R) is false
  4. (A) is false but (R) is true

Answer

(2) Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

Solution

In electrostatic equilibrium E=0 everywhere inside a conductor. By Gauss's law the charge enclosed by any closed surface inside it is zero, so excess charge resides only on the surface. (A) is true.

Between the plates of a charged capacitor there is a field E= 0; a free charge q placed there experiences a force qE and drifts. (R) is true.

(R) is about charges in the field between capacitor plates; it does not explain (A), which follows from E=0 inside a conductor and Gauss's law.

Answer: (2)

JEE Main 2026 (Online) 4th April Evening Shift

Keep practising — Electrostatic Potential and Capacitance

2

A parallel plate air capacitor has a capacitance C. When it is half filled as shown in figure with a dielectric constant K=5, the percentage increase in the capacitance is . [figure]

  1. 33.34
  2. 66.67
  3. 200
  4. 400
JEE Main 2026 (Online) 2nd April Morning Shift
3

Two charged conducting spheres S1 and S2 of radii 8 cm and 18 cm are connected to each other by a wire. After equilibrium is established, the ratio of electric fields on S1 and S2 spheres are ES1 and ES2 respectively. The value of ES1ES2 is .

  1. 32
  2. 23
  3. 49
  4. 94
JEE Main 2026 (Online) 2nd April Morning Shift
4

Two metal plates (A, B) are kept horizontally with separation of ( 12 ) cm, with plate A on the top. An atomizer jet sprays oil (density 1.5 g/cm3) droplets of radius 1 mm horizontally. All oil droplets carry a charge 5 nC. The potentials VA and VB are required on plates A and B respectively in order to ensure the droplets do not descend. The values of VA and VB are . (Neglect the air resistance to the droplets and take g=10 m/s2)

  1. 100 V and 580 V
  2. 580 V and 100 V
  3. 60 V and 400 V
  4. 0 V and -200 V
JEE Main 2026 (Online) 2nd April Evening Shift
5

Two point charges of 1 nC and 2 nC are placed at the two corners of equilateral triangle of side 3 cm. The work done in bringing a charge of 3 nC from infinity to the third corner of the triangle is . 14 0 = 9 109 N m2/C2

  1. 3.3
  2. 27
  3. 2.7
  4. 5.4
JEE Main 2026 (Online) 28th January Morning Shift
6

Which one of the following is not a measurable quantity?

  1. Resistance
  2. Voltage difference
  3. Displacement current
  4. Voltage
JEE Main 2026 (Online) 28th January Evening Shift
7

Identify the correct statements : Choose the correct answer from the options given below :

  1. A, C and D Only
  2. A, B and C Only
  3. B and D Only
  4. C and D Only
JEE Main 2026 (Online) 28th January Evening Shift
8

There are three concentric conducting spherical shells A, B and C of radii a, b and c respectively (c > b > a) and they are charged with charges q1, q2 and q3 respectively. The potentials of the spheres A, B and C respectively, are :

  1. 14 0 ( q1a + q2b + q3c ), 14 0 ( q1 + q2 + q3b ), 14 0 ( q1 + q2 + q3c )
  2. 14 0 ( q1 + q2 + q3a ), 14 0 ( q1 + q2 + q3b ), 14 0 ( q1 + q2 + q3c )
  3. 14 0 ( q1 + q2 + q3a ), 14 0 ( q1 + q2b + q3c ), 14 0 ( q1a + q2b + q3c )
  4. 14 0 ( q1a + q2b + q3c ), 14 0 ( q1 + q2b + q3c ), 14 0 ( q1 + q2 + q3c )
JEE Main 2026 (Online) 24th January Morning Shift
9

Three parallel plate capacitors each with area A and separation d are filled with two dielectrics (k1 and k2) in the following fashion. Which of the following is true? (k1 > k2) [figure]

  1. CC > CB > CA
  2. CB > CC > CA
  3. CA > CC > CB
  4. CC > CA > CB
JEE Main 2026 (Online) 24th January Evening Shift
10

The space between the plates of a parallel plate capacitor of capacitance C (without any dielectric) is now filled with three dielectric slabs of dielectric constants K1 = 2, K2 = 3 and K3 = 5 (as shown in figure). If new capacitance is n3C then the value of n is . [figure]

JEE Main 2026 (Online) 23rd January Morning Shift
11

A parallel plate capacitor with plate separation 5 mm is charged by a battery. On introducing a mica sheet of 2 mm and maintaining the connections of the plates with the terminals of the battery, it is found that it draws 25\% more charge from the battery. The dielectric constant of mica is

  1. 1.0
  2. 2.5
  3. 1.5
  4. 2.0
JEE Main 2026 (Online) 23rd January Evening Shift

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