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Question

A body performs SHM along the straight line segment ABCDE with C as the mid point of segment AE (A and E are the extreme position for the SHM). Its kinetic energies at B and D are each one-fourth of its maximum value. If length of segment AE is 2R, then the distance between B and D is :- (1) dfrac{{sqrt 3 }}{2}R (2) dfrac{R}{{sqrt 2 }} (3) sqrt 3 R (4) sqrt 3 ,R

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