TS EAMCET 5 May 2018 Shift 2 Solved Paper

A block of mass (10α) g, where α is a constant is moving withvelocity 3m∕s to the right collides inelastically with the block onthe right with mass 10g and sticks to it. The right block isconnected to three springs as shown in the figure. The springconstant of each spring is 2N∕m. If the amplitude of theresulting simple harmonic motion is

1

2√2

m, then the value ofα is,