A particle is executing S.H.M., with the length of its path as as 8 cm. At what displacement from the mean position half the energy is kinetic and half is potential ?

Options

A. At 2 cm
B. At `2sqrt(2)` cm
C. At `sqrt(2)` cm
D. At 4 cm.

Answer

B

Explanation

Here `2r=8` cm `impliesr=4` cm
At `y=( r )/(sqrt(2))`, P.E. = K.E. `=(1)/(2)` T.E.
`:." "y=(4)/(sqrt(2))=2 sqrt(2)` cm.
Correct choice is (b).