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The spring constants of two springs of s...

The spring constants of two springs of same length are `k_(1)` and `k_(2)` as shown in figure. If an object of mass m is suspended and set in vibration , the period will be

A

`2pisqrt((mk_(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
(d) The springs are corrected in parallel. So, the efffective force constant will be `k_(e)=k_(1)+k_(2)`
`therefore T=2pisqrt((m)/(k_(e)))=2pisqrt((m)/(k_(1)+k_(2))`
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