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NEET PHYSICSUNITS AND MEASUREMENTSEasy

Question

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) .

Exam Context & Concepts Covered

This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from UNITS AND MEASUREMENTS. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

PHYSICSUNITS AND MEASUREMENTSmodulusrigidity

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