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The length of a spring is l and its force constant is k. When a weight W is suspended from it, its length increases by x. If the spring is cut into two equal parts and put in parallel and the same weight W is suspended from them, then the extension will be

a
2x
b
x
c
x2
d
x4

detailed solution

Correct option is D

Spring is cut into two equal halves so spring constant of each part = 2k These parts are in parallel so Keq=2K+2K=4KExtension force (i.e. W) is same hence by using  F=kx⇒4k×x'=kx⇒x'=x4.

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