Physics Elasticity ( Mechanical Properties of Solids ) Young’s Modulus and Breaking Stress Single Correct MCQ
Published on: September 12, 2026

The units of Young ‘s modulus of elasticity are

A
$Nm^{-1}$
B
N-m
C
$N m^{-2}$
D
$N - m^{2}$

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Text Solution

Verified by Experts
The correct answer is:
C
Step 1: Young's modulus (E) is defined as the ratio of stress (force per unit area) to strain (deformation relative to original length).
Step 2: The formula for young's modulus can be expressed as:
$$ E = \frac{\sigma}{\epsilon} $$
where:
- Stress (\(\sigma\)) is measured in Pascals (Pa), which is equivalent to \(\frac{N}{m^2}\).
- Strain (\(\epsilon\)) is unitless since it is a ratio.
Step 3: Therefore, the units for Young's modulus are the same as those for stress, which is \(N/m^2\) or Pascals (Pa). In some contexts, this is also expressed as MegaPascals (MPa) or other derivatives.
Step 4: Given the options, Option C, which is in the format of a Pascal or a form thereof, correctly represents the units of Young’s modulus. Hence, the answer is Option C.

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