The Youngs modulus of the material of a wire is 6× 1012N/m2 and there is no transverse Strain in it, then its modulus of rigidity will be

Question

The Youngs modulus of the material of a wire is 6× 1012N/m2 and there is no transverse Strain in it, then its modulus of rigidity will be (A)  3× 1012Nm-2  (B)  2× 1012Nm-2  (C)  1012Nm-2  (D) None of these

Tardigrade Admin · Accepted Answer

Y=2η (1+σ ) For no transverse strain (σ =0) Y=2η ⇒ n=(Y/2)=3× 1012N/m2

Q. The Youngs 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

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

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

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

None of these

$Y = 2 η (1 + σ)$ For no transverse strain $(σ = 0)$ $Y = 2 η \Rightarrow n = \frac{Y}{2} = 3 \times 10^{12} N / m^{2}$

Q. The Youngs modulus of the material of a wire is 6×1012N/m2 and there is no transverse Strain in it, then its modulus of rigidity will be

3×1012Nm−2

2×1012Nm−2

1012Nm−2