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If both spring consists k(1) and k(2) ar...

If both spring consists `k_(1)` and `k_(2)` are increased to `4k_(1)` and `4k_(2)` respectively, what will be the new frequency , if f was the original frequency ?

A

f

B

2f

C

`(1)/(2)f`

D

4f

Text Solution

Verified by Experts

The correct Answer is:
B
(b) `f=(1)/(2pi)sqrt((k)/(m))` or `f prop sqrt(k)`
`k=k_(1)+k_(2)` and `k'=4(k_(1)+k_(2))=4k`
So, `f prop sqrt(k')implies f' prop sqrt(4k)`
`f' prop 2sqrt(k)implies f' prop 2f`
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