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Question

Eight identical spherical drops, each having a potential of 9V, are combined together to form a single large drop. The potential of this large drop will be:

The correct answer is

36 V

When n identical drops combine, the potential of the new large drop is given by:
Vnew = n1/3 Vsmall.
Given n = 8 and Vsmall = 9V:
Vnew = 81/3 × 9V = 2 × 9V = 36V.
Thus, the correct answer is (c).

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Important Questions from Electrostatic Potential and Capacitance

  1. A copper ball of density 8.0 g/cc and 1 cm in diameter is immersed in oil of density 0.8 g/cc. The charge on the ball if it remains just suspended in oil in an electric field of intensity 600π V/m acting in the upward direction is:

  2. A metal wire is subjected to a constant potential difference. When the temperature of the metal wire increases, the drift velocity of the electrons in it:

  3. A cube of side 'a' has a charge Q at each of its vertices. What is the potential due to this charge array at the centre of the cube?

  4. A parallel plate capacitor with air between the plates has a capacitance of 6pF. What will be the capacitance if the distance between the plates is reduced to half and the space is filled with a dielectric constant 5?

  5. What is the unit of electric flux in terms of the base units of SI?

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