Two particles A and B of equal masses are suspended from two massless springs of spring constants `k_(1)=4N//m` and `k_(2)=8 N//m` respectively. If maximum velocities during oscillation are equal, fing the ration of amplitudes of A and B.

Explanation

`omega=sqrt((k)/(m)), ` so `omega propsqrt(k) :.(omega_(1))/(omega^(2))=sqrt((k_(1))/(k_(2)))`
Given `(v_(m))_(A)=(v_(max))_(B):. a_(1)omega_(1)=a_(2)omega_(2)`
or `(a_(1))/(a_(2))=(omega_(2))/(omega_(1)) = sqrt((k_(2))/(k_(1)))=sqrt((8)/(4))=sqrt(2)`