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Q.

When a certain weight is suspended from a long uniform wire, its length increases by one cm. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one then the increase in length will be

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a

0.5 cm

b

2 cm

c

4 cm

d

8 cm

answer is C.

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Detailed Solution

l=FLAY⇒l∝1r2 (F,L and Y are constant )l2l1=r1r22=(2)2=4⇒l2=4l1=4cm
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