Back to Directory
NEET PHYSICSEasy

The units of modulus of rigidity are:

A

N-m

B

N/m

C

N-m^2

D

N/m^2

Step-by-Step Solution

  1. Definition: Modulus of rigidity, also known as Shear Modulus (GG), is defined as the ratio of shearing stress (σs\sigma_s) to shearing strain (θ\theta).
  2. Formula: G=Shearing StressShearing Strain=F/AΔx/LG = \frac{\text{Shearing Stress}}{\text{Shearing Strain}} = \frac{F/A}{\Delta x / L}.
  3. Dimensional Analysis:
  • Shearing Stress (F/AF/A): Force is measured in Newtons (N) and Area in square metres (m2m^2). Thus, the unit is N/m2N/m^2.
  • Shearing Strain (Δx/L\Delta x / L): This is a ratio of lengths and is dimensionless.
  1. Conclusion: The SI unit of modulus of rigidity is determined solely by the unit of stress, which is Newton per square metre (N/m2N/m^2) or Pascal (Pa) .
Practice Mode Available

Master this Topic on Sushrut

Join thousands of students and practice with AI-generated mock tests.

Get Started