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