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Time period of oscillation for given com...

Time period of oscillation for given combination will be :

A

`2pi sqrt((m(K_(1)+K_(2)))/(K_(1)K_(2)))`

B

`2pi sqrt((m)/(K_(1)+K_(2)))`

C

`2pi sqrt((mK_(1)K_(2))/(K_(1)+K_(2)))`

D

`2pi sqrt((mK_(1))/(K_(2)))`

Text Solution

Verified by Experts

The correct Answer is:
A
For series combination
`K_(eq)= (K_(1)K_(2))/(K_(1) + K_(2))`
`T = 2pi sqrt((m)/(K_(eq))) = 2pi sqrt((m(K_(1) +K_(2)))/(K_(1)K_(2)))`
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