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The force constants of two springs are K1  and K2. Both are stretched till their elastic energies are equal. If the stretching forces are F1 and F2 , then F1:F2  is

a
K1:K2
b
K2:K1
c
K1:K2
d
K12:K22

detailed solution

Correct option is C

Given elastic energies are equal i.e.,  12k1x12=12k2x22⇒k1k2=x2x12 and using  F=kx⇒F1F2=k1x1k2x2=k1k2×k2k1=k1k2

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