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Question

A block of mass m is suspended vertically with a spring of spring constant k. The block is made to oscillate in a gravitation field. Its time period is found to be T. Now the space between the plates is made gravity free, and an electric field E is produced in the downward direction. Now the block is given a charge q. The new time period of oscillation is:

A
T
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B
T+2πqEmd
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C
2πqEmd
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D
none of the above
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Solution

The correct option is B T
Time period is independent of a constant force acting on the block of spring-block system. Its time period will remain same as,
T=2πmk

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