JEE Advanced 2025 Physics question

PhysicsElectrostatic Potential and CapacitanceJEE Advanced 2025

A positive point charge of C is kept at a distance of 20 cm from the center of a neutral conducting sphere of radius 10 cm. The sphere is then grounded and the charge on the sphere is measured. The grounding is then removed and subsequently the point charge is moved by a distance of 10 cm further away from the center of the sphere along the radial direction. Taking Nm²/C² (where is the permittivity of free space), which of the following statements is/are correct:

Answer: (A),(B),(C)

Solution

The sphere is an equipotential, so its potential equals that at its centre. (A) Neutral sphere: induced charges are all at distance R from the centre and sum to zero, so V. (B, C) Grounded: $ + = 0

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Question ID VK-035486