Two masses `m_(1)`, and `m_(2)` are connected by a string of length L. They are held in horizontal plane at a height H above two fixed heavy plates A and B made of different material placed on the floor. Initially distance between two masses is `altL`. When the masses are released under gravity they make collision with A and B with co-efficient of resitution 0.8 and 0.4 respectively. The time after collision when the string becomes tight is

Options

A. `(5)/(2)sqrt((L^(2)-a^(2))/(2gH))`
B. `sqrt((5g)/(H))`
C. `(3)/(2)sqrt((L^(2)-a^(2))/(2gH))`
D. None of these

Explanation

`sqrt(L^(2)-a^(2))`
`t=sqrt(L^(2)-a^(2))/(v_(rel))=(5)/(2)sqrt(L^(2)-a^(2))/sqrt(2gh)`