Dimensions of the following three quantities | vedclass

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(D) The dimension of pressure is defined as force per unit area: $[P] = [F]/[A] = [MLT^{-2}]/[L^2] = [ML^{-1}T^{-2}]$.Stress is also defined as restor

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Pressure,stress,coefficient of elasticity

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(D) The dimension of pressure is defined as force per unit area: $[P] = [F]/[A] = [MLT^{-2}]/[L^2] = [ML^{-1}T^{-2}]$.Stress is also defined as restoring force per unit area: $[Stress] = [F]/[A] = [ML^{-1}T^{-2}]$.Coefficient of elasticity is defined as stress divided by strain. Since strain is dimensionless,the dimension of the coefficient of elasticity is the same as stress: $[E] = [Stress]/[Strain] = [ML^{-1}T^{-2}] / [1] = [ML^{-1}T^{-2}]$.Therefore,all three quantities have the same dimensions: $[ML^{-1}T^{-2}]$.

List-$I$	List-$II$
$(a)$ $h$ (Planck's constant)	$(i)$ $[M L T^{-1}]$
$(b)$ $E$ (kinetic energy)	$(ii)$ $[M L^2 T^{-1}]$
$(c)$ $V$ (electric potential)	$(iii)$ $[M L^2 T^{-2}]$
$(d)$ $P$ (linear momentum)	$(iv)$ $[M L^2 I^{-1} T^{-3}]$

Dimensions of the following three quantities are the same:

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