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Question

A spring of force constant K is cut into two pieces such that the one piece is double the length of the other. Then the long piece will have a force constant of:
  1. (2/3) K
  2. 3/2 K
  3. 3K
  4. 6K

A
(2/3) K
B
6K
C
3/2 K
D
3K
Solution
Verified by Toppr

Force constant, K1l=cl

Let the spring cut into pieces of length x,2x
So, x+2x=lx=l3
Force constant of long piece is: k=c2x=Kl2l/3=3K2

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