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Question:

A spring whose unstretched length is l has a force constant k. The spring is cut into two pieces of unstretched lengths l_1 and l_2 where, l_1 = nl_2 and n is an integer. The ratio k_1/k_2 of the corresponding force constants, k_1 and k_2 will be:

1n^2

1n

n^2

n

Solution:

Correct option is C.

1/k1 = C l1
1/k2 = C l2
k1/k2 = l2/l1

C, where, l1 = n l2