When the kinetic energy of a body executing S.H.M. is 1/3 of the potential energy. The displacement of the body is x percent of the amplitude, where x is:
Text Solution
Verified by ExpertsThe correct answer is:
B
The relation for kinetic energy of S.H.M. is given by
= 
(a 2 – y 2 )...
Potential energy is given by
= 
y 2 ...
Now for the condition of question and eqs. and
(a 2 – y 2 ) = 
× 
y 2
or 
y 2 = 
a 2
or y 2 = 
a 2
So, y = 
= 0.866 a
≈ 87% of amplitude
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