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Q.

Two wires of copper having the length in the ratio 4 : 1 and their radii ratio as 1 : 4 are stretched by the same force. The ratio of longitudinal strain in the two will be

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a

1 : 16

b

16 : 1

c

1 : 64

d

64 : 1

answer is B.

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Detailed Solution

strain ∝ stress ∝FA Ratio of strain =A2A1=r2r12=412=161
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Two wires of copper having the length in the ratio 4 : 1 and their radii ratio as 1 : 4 are stretched by the same force. The ratio of longitudinal strain in the two will be