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The period of oscillation of a mass m su...

The period of oscillation of a mass m suspended from a spring of negligible mass is T. If along with it another mass m is also suspended the period of oscillation will now be……..

A

`T`

B

`(T)/(sqrt(2))`

C

`2T`

D

`sqrt(2)T`

Text Solution

Verified by Experts

The correct Answer is:
D
In first case `T= 2pi sqrt((M)/(k))`
In second case `T. = 2pi sqrt((M+M)/(k))= 2pi sqrt((2M)/(k))`
`therefore (T.)/(T)= sqrt(2)`
`therefore T. = sqrt(2)T`.
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