The amplitude of a particle executing SHM is made three-fourth keeping its time period constant. Its total energy will be

Options

A. `E/2`
B. `(3)/(4)E`
C. `(9)/(16)E`
D. None of these

Answer

C

Explanation

`E=(1)/(2) momega^(2)A^(2)`
As T=constant
`E prop A^(2) implies (E.)/(E)=(A^(.2))/(A^(2))implies E.=(E((3)/(4)A)^(2))/(A^(2))implies E.=(9E)/(16)`.