In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The…
In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of $\left[M^a L^b T^c\right]$. If $b=-3$, the value of $c$ is ________
Solution
[Modulus of elasticity] $=\mathrm{ML}^{-1} \mathrm{~T}^{-2}$ [Torque] $=$ ML $^2 \mathrm{~T}^{-2}$ [Modulus of elasticity per unit torque] $=\frac{\mathrm{ML}^{-1} \mathrm{~T}^{-2}}{\mathrm{ML}^2 \mathrm{~T}^{-2}}=\mathrm{L}^{-3}$