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Q.

Poisson ratio of certain material is 0.3. If a compressive strain of 4×10−3 is produced in a uniform rod of this material, the percentage change in its volume will be

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a

increases by 0.24%

b

decreases by 0.24%

c

increases by 0.16%

d

decreases by 0.16%

answer is D.

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Detailed Solution

ΔVV=-1−2σΔllΔVV×100=-1−20.34×103×100             = -1−0.64×10−3×100              =-0.4×4×10−3×100              =-1.6×10−1=-0.16%So, volume decreases by 0.16% .

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