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Question

A wire of cross-section area 2 mm2 is stretched by 0.1 mm by a certain force. How far (length) will the wire of same material and length but area 8 mm2 stretch under the action of same force?

A
0.25 mm
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B
0.005 mm
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C
0.025 mm
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D
0.05 mm
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Solution

The correct option is C 0.025 mm
Given:
Area of 1st wire; A1=2×106 mm2
Area of 2nd wire; A2=8×106 mm2
ΔL1=0.1×103 m
As length, force on wire and material of wire are same.
L1=L2, F1=F2, Y1=Y2
We know,
ΔL=FLAY
ΔL1=F1L1A1Y1
Simillarly
ΔL2=F2L2A2Y2
ΔL2ΔL1=A1A2=28
ΔL2=14×0.1×103 m=0.025 mm

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