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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

`2/3k`

B

`3/2k`

C

`3k`

D

`6k`

Text Solution

Verified by Experts

The correct Answer is:
B
`l_(1) = 2l_(2) :. l_(1) = 2/3 l`

Force constant `k prop (1)/("length of spring") :. K_(1) = (3)/(2)k`
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