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Two bodies P and Q of equal masses are s...

Two bodies `P` and `Q` of equal masses are suspended from two separate massless springs of force 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 `P` to that of `Q` is

A

`k_(1) //k_(2)`

B

`sqrt(k_(1) // k_(2))`

C

`k_(2) // k_(1)`

D

`sqrt(k_(2) // k_(1))`

Text Solution

Verified by Experts

The correct Answer is:
D
`v_("max") = A omega = A sqrt(( k)/( m))`
` :. ( A_(1) sqrt((k_(1))/(m)))/(A_(2) sqrt((k_(2))/(m))) = 1 rArr (A_(1))/(A_(2)) = sqrt(( k_(2))/( k_(1)))`
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