question_answer

Starting from the origin, a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy?                                                                                                 [AIEEE 2006]

A)  \[\frac{1}{6}s\]           

B)       \[\frac{1}{4}s\]

C)  \[\frac{1}{3}s\]            

D)       \[\frac{1}{12}s\]

Correct Answer: A

Solution :

[a] The kinetic energy of a body undergoing SHM is given by

and

(as maximum value ofand here symbols represent standard quantities)

From given information,