In the system shown in figure A_(0) and 4A_(0) are the area of the pistons of masses m and 2m respectively and the system is in a gravity free space. If one of the piston is displaced slightly by an amount Deltax then the time period of the resulting oscillations is 2pi sqrt((xm)/(yk)). (spring constant are k and 2k) and consider the mass of liquid to be negligible as compared to the masses of the pistons and the piston can slide smoothly without the liquid spilling out.The value of y-x is _________

In the system shown in figure A_(0) and 4A_(0) are the area of the pis

1.	In the system shown in figure A_(0) and 4A_(0) are the area of the pistons of masses m and 2m respectively and the system is in a gravity free space. If one of the piston is displaced slightly by an amount Deltax then the time period of the resulting oscillations is 2pi sqrt((xm)/(yk)). (spring constant are k and 2k) and consider the mass of liquid to be negligible as compared to the masses of the pistons and the piston can slide smoothly without the liquid spilling out.The value of y-x is _________
Answer» SOLUTION :`2Rx - R ((x)/(4)) = ma + (2m(a)/(4))` `(7Rx)/(4) = (3ma)/(2)` `rArr ((7K)/(6M)) x = a`