Question

The dimension of the modulus of rigidity, is

• A. $\left[M{L}^{-2}{T}^{-2}\right]$
• B. $\left[ML{T}^{-2}\right]$
• C. $\left[M{L}^{-1}{T}^{-1}\right]$
• D. $\left[M{L}^{-1}{T}^{-2}\right]$

Answer 1

Answer: (D)

The modulus of rigidity
$(\eta )=\frac{\text{ Shearing stress }}{\text{ Shearing strain }}$
$=\frac{F/A}{\varphi }=\frac{\left[ML{T}^{-2}\right]}{\left[L^2\right]}$
$=\left[M{L}^{-1}{T}^{-2}\right]$