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(C) To determine which pair does not have the same dimensional formula,we analyze each option:$1$. Work and Torque: Both have the dimensional formula

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stress and linear momentum

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(C) To determine which pair does not have the same dimensional formula,we analyze each option:$1$. Work and Torque: Both have the dimensional formula $[ML^2T^{-2}]$.$2$. Angular momentum and Planck's constant: Both have the dimensional formula $[ML^2T^{-1}]$.$3$. Stress and Linear momentum: Stress is force per unit area,$[ML^{-1}T^{-2}]$. Linear momentum is mass times velocity,$[MLT^{-1}]$. These are not the same.$4$. Surface tension and Force constant: Both have the dimensional formula $[MT^{-2}]$.Therefore,the pair that does not have the same dimensional formula is stress and linear momentum.

Column-$1$	Column-$2$
$(a)$ Wave vector	$(i)$ $M^1L^0T^{-3}$
$(b)$ Linear mass density	$(ii)$ $M^1L^{-1}T^{-2}$
$(c)$ Intensity of a wave	$(iii)$ $M^0L^{-1}T^0$
$(d)$ Volume elasticity coefficient	$(iv)$ $M^1L^{-1}T^0$

Of the following,the pair of physical quantities not having the same dimensional formula is

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Match Column-$1$ with Column-$2$.
Column-$1$ Column-$2$
$(a)$ Wave vector $(i)$ $M^1L^0T^{-3}$
$(b)$ Linear mass density $(ii)$ $M^1L^{-1}T^{-2}$
$(c)$ Intensity of a wave $(iii)$ $M^0L^{-1}T^0$
$(d)$ Volume elasticity coefficient $(iv)$ $M^1L^{-1}T^0$

Let $[\varepsilon_0]$ be the dimensional formula of the permittivity of free space. If $M = \text{mass}$,$L = \text{length}$,$T = \text{time}$,and $A = \text{electric current}$,then which of the following is correct?

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