For a given material the Youngs modulus is 2.4 times that of its rigidity modulus its poission’s ratio is

# For a given material the Youngs modulus is 2.4 times that of its rigidity modulus its poission's ratio is

1. A

2.4

2. B

1.2

3. C

0.4

4. D

0.2

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### Solution:

The fractional change in the longitudinal length is inversely correlated with the fractional change in the transverse length. The Poisson's ratio is the name of the proportionality constant. It is provided by with respect to Youngs' modulus and rigidity modulus.

$\mathrm{\sigma }=-\frac{\frac{∆\mathrm{d}}{\mathrm{d}}}{\frac{∆\mathrm{L}}{\mathrm{L}}}$

$\mathrm{\sigma }=\frac{\mathrm{Y}}{2\mathrm{\eta }}-1$

$\mathrm{Y}=2.4\mathrm{\eta }$

$\mathrm{\sigma }=\frac{2.4\mathrm{\eta }}{2\mathrm{\eta }}-1=0.2$

Hence the correct answer is 0.2.

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