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Question

A thin metallic spherical shell contains a charge +10 μC on it. A point charge +2 μC is placed at the centre of the shell and another charge +5 μC is placed outside it as shown. The force on the charge +2 μC at the centre is:

The correct answer is

Zero

The charge +2 μC at the center of the metallic spherical shell induces an equal and opposite charge (-2 μC) on the inner surface of the shell. However, the shell itself has a net charge of +10 μC, which is distributed uniformly on the outer surface. Since the shell is conducting and spherical, it produces no electric field inside, meaning the charge +2 μC experiences no force. Thus, the net force on the charge at the center is zero.

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Important Questions from Electric Charges and Fields

  1. Which of the following options is correct by using Coulomb's law?

  2. Which of the following statements are correct?

    • A. The angle at minimum deviation of a prism is greater for violet light than that for red light.
    • B. The purpose of microscopes and telescopes is to increase the visual angle.
    • C. For the diffraction to take place, the size of aperture or of the obstacle should be comparable to the wavelength of light.
    • D. The light scattered in the direction of the incident light is always plane polarized.
    • E. The source and its virtual image can behave as coherent sources.

    Choose the correct answer from the options given below:

  3. Match List - I with List - II

    Choose the correct answer from the options given below:

  4. A thin metallic spherical shell contains a charge +10 μC on it. A point charge +2 μC is placed at the centre of the shell and another charge +5 μC is placed outside it as shown. The force on the charge +2 μC at the centre is:

  5. In the figure, an α-particle moves a distance l in a uniform electric field E as shown. Does the Electric Field do a positive or a negative work on the α-particle? Does the electric potential energy of the α-particle increase or decrease?

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