Which one of the following is not a unit o

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Which one of the following is not a unit of young's modulus

A

$N{m^{ - 1}}$

B

$N{m^{ - 2}}$

C

$Dyne\;c{m^{ - 2}}$

D

Mega Pascal

Which one of the following is not a unit of young's modulus

Young's modulus $\quad Y =\frac{\text { Stress }}{\text { Strain }}$

As we know, strain is a dimensionless quantity whereas stress is defined as force per unit area.

Stress has units as $Nm ^{-2}$ (SI unit), Dyne $cm ^{-2}$ (cgs unit) or Pascal $( P a)$.

As Young's modulus has same unit as that of stress, thus $Nm ^{-1}$ is not a unit of Young's modulus.