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Questions  

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 arc each one fourth of its maximum value. If length of segment AE is 2R, then the distance between B and D is

a
32R
b
R2
c
3 R
d
2 R

detailed solution

Correct option is C

When the particle crosses D, its speed is half the maximum speed∴ V=vmaxRR2−x2 or  vmax2=vmaxRR2−x2 or x=32R∴  Distance BD=2x=3R

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