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Question: Two wires of copper having the length in the ratio 4 : 1 and their radii ratio as 1 : 4 are stretche...

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

A

1 : 16

B

16 : 1

C

1 : 64

D

64 : 1

Answer

16 : 1

Explanation

Solution

Ratio of strain =A2A1=(r2r1)2=(41)2=161\frac { A _ { 2 } } { A _ { 1 } } = \left( \frac { r _ { 2 } } { r _ { 1 } } \right) ^ { 2 } = \left( \frac { 4 } { 1 } \right) ^ { 2 } = \frac { 16 } { 1 }