Two identical blocks `P` and `Q` have mass `m` each. They are attached to two identical springs initially unstretched. Now the left spring (along with `P)` is compressed by `A//2` and the right spring (along with `Q`) is compressed by `A`. Both the blocks are released simultaneously. They collide perfectly inelastically. Initially time period of both the blocks was `T`.

The energy of oscillation of the combined mass is

Options

A. `(1)/(2)kA^(2)`
B. `(1)/(4)kA^(2)`
C. `(1)/(8)kA^(2)`
D. `(1)/(16)kA^(2)`

Answer

D

Explanation

`E = (1)/(2)(2m)v^(2) = (kA^(2))/(16)`