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Standard XII
Physics
Electric Field Due to a Sphere and Thin Shell
Question

The uncharged metallic sphere A suspended as shown in the given figure is given a push so that it moves towards the +ve plate. Which of the following statements is correct?
270581_854ac287bce342269907880beb9929eb.png
  1. A touches the positive plate and remains in contact with it.
  2. A touches positive plate and then moves towards negative plate and remains in contact with it.
  3. A moves to and fro between the two plates with a constant time period.
  4. A moves to and fro between the two plates with an increasing time period.

A
A moves to and fro between the two plates with a constant time period.
B
A moves to and fro between the two plates with an increasing time period.
C
A touches positive plate and then moves towards negative plate and remains in contact with it.
D
A touches the positive plate and remains in contact with it.
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Solution
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The two charged plates create a region with a uniform electric field. the field is directed from positive to negative plates.
Once a sphere is disturbed to suppose it touches +ve plate and some +ve charged is transferred to the ball, an electric force will be acting on the sphere and accelerates towards -ve plate. Once it touches -ve plate the +ve charge disappears and -ve charged is transferred on the sphere.
Therefore, the sphere will continue this to and fro motion between the two plates until the charge becomes net charge transferred that is the plates become neutrally charged.
option D is the correct answer.

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270581_854ac287bce342269907880beb9929eb.png
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