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A mass m is suspended by means of two co...

A mass m is suspended by means of two coiled springs which have the same length in unstretched condition as shown in figure. Their force constants are `k_(1) and k_(2)` respectively. When set into vertical vibrations, the period will be

A

`2pisqrt(((m)/(k_(1)k_(2))))`

B

`2pisqrt(m((k_(1))/(k_(2))))`

C

`2pisqrt(((m)/(k_(1)-k_(2))))`

D

`2pisqrt(((m)/(k_(1)+k_(2))))`

Text Solution

Verified by Experts

The correct Answer is:
D
For given combination, the net spring constant, `k=k_(1)+k_(2)`
Hence, `T=2pisqrt((m)/(k))=2pisqrt((m)/(k_(1)+k_(2)))`
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