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A mass m is suspended from the two coupl...

A mass m is suspended from the two coupled springs connected in series. The force constant for springs are `k_(1) "and" k_(2).` The time period of the suspended mass will be

A

`T = 2pi sqrt((m)/(k_(1)-k_(2)))`

B

`T = 2pi sqrt((mk_(1)k_(2))/(k_(1)+k_(2)))`

C

`T = 2pi sqrt((m)/(k_(1)+k_(2)))`

D

`T = 2pi sqrt((m(k_(1)+k_(2)))/(k_(1)k_(2)))`

Text Solution

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The correct Answer is:
D
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