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A wire is stretched such that it's volume remains constant.the poission's ratio of the material of the wire is? A)-0.25 B)0.25 C)-0.50 D)0.50 the correct answer is?
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A wire is stretched such that it's volume remains constant.the poissio...
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A wire is stretched such that it's volume remains constant.the poissio...
Answer:

The correct answer is A) -0.25.

Explanation:

When a wire is stretched, its length increases and its cross-sectional area decreases. If the volume of the wire remains constant, then the decrease in cross-sectional area compensates for the increase in length.

The Poisson's ratio is a measure of the lateral strain to longitudinal strain when a material is stretched. It is defined as the ratio of the transverse strain to the longitudinal strain. If a material has a Poisson's ratio of -0.25, it means that when the material is stretched, it will contract laterally by 0.25 times the amount it elongates longitudinally.

In this case, since the volume of the wire remains constant, the lateral strain must be equal and opposite to the longitudinal strain. Therefore, the Poisson's ratio of the material can be calculated using the formula:

Poisson's ratio = (lateral strain)/(longitudinal strain)

Since the lateral strain is equal in magnitude to the longitudinal strain, the Poisson's ratio is -0.25.

Therefore, the correct answer is A) -0.25.
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A wire is stretched such that it's volume remains constant.the poission's ratio of the material of the wire is? A)-0.25 B)0.25 C)-0.50 D)0.50 the correct answer is?
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