Two identical blocks of mass m, each are connected by a spring as shown in figure. At any instant of t = 0, one block is given a velocity `V_(0)` and other is given a velocity `2V_(0)` in the same direction simultaneously as shown in figure. The maximum energy stored in spring

Options

A. `(1)/(2) mV_(0)^(2)`
B. `(1)/(4) mV_(0)^(2)`
C. `(3)/(4) mV_(0)^(2)`
D. `(5)/(2) mV_(0)^(2)`

Answer

B

Explanation

By conservation of linear momentum along line of impact.
`because` Both discs have same mass so velocities along line of impact are interchanged.
implies Velocity of bigger disc after collision `=v_(0)cos theta = v_(0)((3)/(5))=(3v_(0))/(5)`