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Q.

The Young's modulus of the material of a wire is $6 \times 10^{12} N / m^{2}$ and there is no transverse strain in it, then its modulus of rigidity will be:

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a

$3 \times 10^{12} N / m^{2}$

b

$2 \times 10^{12} N / m^{2}$

c

None of the above

d

$10^{12} N / m^{2}$

answer is A.

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Detailed Solution

$Y = 2 η (1 + σ)$

For no transverse strain ( $σ = 0$ )

$\Rightarrow Y = 2 η \Rightarrow η = \frac{Y}{2} = 3 \times 10^{12} N / m^{2}$

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