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