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Q.

The ratio of the lengths of two wires A and B of same material is 1 : 2 and the ratio of their diameter is 2 : 1. They are stretched by the same force, then the ratio of increase in length will be:

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a

1 : 4

b

8 : 1

c

2 : 1

d

1 : 8

answer is C.

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Detailed Solution

l=FLAY lLd2 l1l2=L1L2×(d2d2)2 =12×(12)2 =18

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The ratio of the lengths of two wires A and B of same material is 1 : 2 and the ratio of their diameter is 2 : 1. They are stretched by the same force, then the ratio of increase in length will be: