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As shown in the figure, two light spring...

As shown in the figure, two light springs of force constant `k_(1)` and `k_(2)` oscillate a block of mass m. Its effective force constant will be

A

`k_(1)k_(2)`

B

`k_(1)+k_(2)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
(d) The springs are connected in series. So, the effective force constant will be
`(1)/(k_(e))=(1)/(k_(1))+(1)/(k_(2))impliesk_(e)=(k_(1)k_(2))/(k_(1)+k_(2))`
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