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Q.

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

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a

T

b

T+2πqEmd

c

2πqEmd

d

none of the above

answer is A.

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Detailed Solution

Time period is independent of a constant force acting on the block of spring-block system. Its time period will remain same asT=2πmk
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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