Solved: PHYSICS Question for NEET | Sushrut

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NEET PHYSICSEasy

Young's modulus of a material has the same units as:

A

Pressure

B

Strain

C

Compressibility

D

Force

Step-by-Step Solution

Definition: Young's modulus ( $Y$ ) is defined as the ratio of longitudinal stress ( $\sigma$ ) to longitudinal strain ( $arepsilon$ ) within the elastic limit, given by $Y = \frac{\text{Stress}}{\text{Strain}}$ .
Unit Analysis:

Strain is defined as the ratio of change in dimension to the original dimension (e.g., $\Delta L / L$ ). It is a dimensionless quantity.
Stress is defined as the internal restoring force per unit area ( $F/A$ ). Its SI unit is Newton per square metre ( $\text{N/m}^2$ ) or Pascal (Pa).
Therefore, the unit of Young's modulus is the same as the unit of Stress.

Comparison with Options:

Pressure is defined as force exerted per unit area. Its SI unit is also Pascal (Pa) or $\text{N/m}^2$ .
Strain is unitless.
Compressibility is the reciprocal of the bulk modulus, with units $\text{Pa}^{-1}$ or $\text{m}^2/\text{N}$ .
Force has the unit Newton (N).

Conclusion: Young's modulus has the same units as Pressure , .

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Solved: PHYSICS Question for NEET | Sushrut