The physical quantities not having the same d | vedclass

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(C) The dimensions of the given quantities are as follows:$1$. Speed: $[LT^{-1}]$ and ${({\mu _0}{\varepsilon _0})^{-1/2}} = c$ (speed of light): $[LT

Vedclass · Accepted Answer

Momentum and Planck's constant

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(C) The dimensions of the given quantities are as follows:$1$. Speed: $[LT^{-1}]$ and ${({\mu _0}{\varepsilon _0})^{-1/2}} = c$ (speed of light): $[LT^{-1}]$. They have the same dimensions.$2$. Torque: $[ML^2T^{-2}]$ and Work: $[ML^2T^{-2}]$. They have the same dimensions.$3$. Momentum: $[MLT^{-1}]$ and Planck's constant: $[ML^2T^{-1}]$. They do not have the same dimensions.$4$. Stress: $[ML^{-1}T^{-2}]$ and Young's modulus: $[ML^{-1}T^{-2}]$. They have the same dimensions.Therefore,the correct option is $C$.

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	$(iv)$ $M^1L^{-1}T^0$

The physical quantities not having the same dimensions are:

Similar Questions

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Find the dimensional formula of $\rho g v$,where $\rho = \text{density}$,$g = \text{acceleration}$,and $v = \text{velocity}$.

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 $(iv)$ $M^1L^{-1}T^0$

List at least six physical quantities that have the dimensional formula $ML^2T^{-2}$.

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