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A spring of force constant k is cut into...

A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of

A

`(2/3)k`

B

`(3/2)k`

C

`3k`

D

`6k`

Text Solution

Verified by Experts

The correct Answer is:
B
The force constant of a spring is inversely proportional to the length of the spring. Let the original length of the spring be L and spring constant be K (given).
Therefore, `K xx L = (2L)/(3) xx K' implies K' = 3/2 K`.
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