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If a spring of force constant 'K' is cut into three equal parts then the force constant of each part will be

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detailed solution

Correct option is C

Force equation for mass attached to a spring is F=-kx where k is force constant and x is displacement of the massfor a length l of spring equation of force is F=-kl---(1) when the spring is cut into 3 equal parts equation of force is F = -k1l3---(2) substitute (1) in (2) -kl = -k1l3 ⇒k1=3k  alternate solution:     ***** F=-kx     ⇒k1l1=k2l2 kl=k2l3 so k2=3k


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