Q.

A uniform spring of force constant k is cut into two pieces, the lengths of which are in the ratio 1 : 2. The ratio of the force constants of the shorter and the longer pieces is

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a

1 : 3

b

1 : 2

c

2 : 3

d

2 : 1

answer is D.

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Detailed Solution

Force constant (k) ∝1Length of the string (l)⇒k1k2=l2l1=21
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A uniform spring of force constant k is cut into two pieces, the lengths of which are in the ratio 1 : 2. The ratio of the force constants of the shorter and the longer pieces is