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Q.

A block of mass m containing a net negative charge  q is placed on a frictionless horizontal table and is connected to a wall through an unstretched spring of spring constant K. If horizontal electric field E parallel to the spring is switched on, then the maximum compression of the spring is

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a

EqK

b

2EqK

c

qEK

d

zero

answer is B.

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Detailed Solution

Force on the block F=qE  is towards left
Let maximum compression in the spring be x. Then work done by electric force during compression = the increase of potential energy in the spring.    
                                                                                                            Fx=12Kx2-0 Eqx=12kx2 x=2EqK

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