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Question

Question: A spring of force constant k is cut into two pieces such that one pieces is double the length of the...

A spring of force constant k is cut into two pieces such that one pieces is double the length of the other. Then the long piece will have a force constant of

A

2/3k2/3k

B

3/2k3/2k

C

3k3k

D

6k6k

Answer

3/2k3/2k

Explanation

Solution

If l1=nl2l_{1} = nl_{2} then k1=(n+1)kn=32kk_{1} = \frac{(n + 1)k}{n} = \frac{3}{2}k [As n = 2]