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Question: Two wires of the same radius and material and having lengths in the ratio 8.9 : 7.6 are stretched by...

Two wires of the same radius and material and having lengths in the ratio 8.9 : 7.6 are stretched by the same force. The strains produced in the two cases will be in the ratio –

A

1 : 1

B

1 : 7.6

C

8.9 : 1

D

1: 3.2

Answer

1 : 1

Explanation

Solution

Y = stressstrain\frac{stress}{strain} ; Strain = stressY=F/πr2Y\frac{stress}{Y} = \frac{F/\pi r^{2}}{Y}.

Strain does not depend on the length