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If Poisson’s ratio of material is 0.2 and because of stress its change in length is 25% of original length, whereas the change in its radius is ______%.
  • a)
    5
  • b)
    10
  • c)
    15
  • d)
    25
Correct answer is option 'A'. Can you explain this answer?
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Given data:
Poisson's ratio = 0.2
Change in length = 25%

Calculation:
- Poisson's ratio (ν) is defined as the ratio of lateral strain to longitudinal strain. Mathematically, it is given by the formula:
ν = - (lateral strain) / (longitudinal strain)
- Given that the change in length is 25% of the original length, which means the longitudinal strain is 25%.
- Using the formula for Poisson's ratio, we can calculate the lateral strain as:
0.2 = - x / 25%
x = -5%
- The negative sign indicates that the lateral strain is in the opposite direction to the longitudinal strain.
- Now, the change in radius can be calculated using the lateral strain:
Change in radius = Poisson's ratio * original length * lateral strain
Change in radius = 0.2 * 100% * 5% = 1%
Therefore, the change in radius is 1%, which corresponds to option A.
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If Poisson’s ratio of material is 0.2 and because of stress its change in length is 25% of original length, whereas the change in its radius is ______%.a)5b)10c)15d)25Correct answer is option 'A'. Can you explain this answer?
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