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One fourth length of a spring of force c...

One fourth length of a spring of force constant k is cut away. The force constant of the remaining spring will be what ?

A

`(3)/(4)k`

B

`(4)/(3)k`

C

`k`

D

`4k`

Text Solution

Verified by Experts

The correct Answer is:
B
Using `k propto (1)/(l)`
Here, one fourth length is cut, so the length of remaining part is `(3)/(4)l`
`therefore (k_2)/(k_1)= (l_1)/(l_2)= (l)/((3)/(4)l)= (4)/(3)`
`therefore k_(2)= (4)/(3)k`.
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