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T(1),T(2) are time periods of oscillatio...

`T_(1),T_(2)` are time periods of oscillation of a block when individually suspended to springs of force constants `K_(1),K_(2)` respectively. If same block is suspended to series combination of same two springs, then it time period of oscillation.

A

`T_(1)+T_(2)`

B

`(T_(1)T_(2))/(T_(1)+T_(2))`

C

`(T_(1)T_(2))/(sqrt(T_(1)^(2)+T_(2)^(2)))`

D

`sqrt(T_(1)^(2)+T_(2)^(2))`

Text Solution

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The correct Answer is:
D
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