Two bodies (M) and (N) of equal masses are suspended from two separate massless springs of spring constants (k_1) and (k_2) respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of vibration of (M) to the of (N) is.A. `(k_(1))/(k_(2))`B. `sqrt((k_(1))/(k_(2)))`C. `(k_(2))/(k_(1))`D. `sqrt((k_(2))/(k_(1)))`

Two bodies (M) and (N) of equal masses are suspended from two separate

1.	Two bodies (M) and (N) of equal masses are suspended from two separate massless springs of spring constants (k_1) and (k_2) respectively. If the two bodies oscillate vertically such that their maximum velocities are equal, the ratio of the amplitude of vibration of (M) to the of (N) is.A. `(k_(1))/(k_(2))`B. `sqrt((k_(1))/(k_(2)))`C. `(k_(2))/(k_(1))`D. `sqrt((k_(2))/(k_(1)))`
Answer» Correct Answer - D<br>Maximum velocity`=a omega = asqrt((k)/(m))`<br> Given that `omega = sqrt((k_(1))/(m)) = a_(2)sqrt((k_(1))/(m))rArr (a_(1))/(a_(2)) = sqrt((k_(2))/(k_(1)))`

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