The pair of physical quantities not having th | vedclass

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(B) To determine the pair with different dimensions,we analyze each option:$1$. Torque $(		au)$ and Energy $(E)$: Both have dimensions $[ML^2T^{-2}]$

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Surface tension and impulse

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(B) To determine the pair with different dimensions,we analyze each option:$1$. Torque $(		au)$ and Energy $(E)$: Both have dimensions $[ML^2T^{-2}]$.$2$. Surface tension $(\sigma)$ and Impulse $(I)$: Surface tension has dimensions $[MT^{-2}]$,while Impulse has dimensions $[MLT^{-1}]$. These are not the same.$3$. Angular momentum $(L)$ and Planck's constant $(h)$: Both have dimensions $[ML^2T^{-1}]$.$4$. Pressure $(P)$ and Young's modulus $(Y)$: Both have dimensions $[ML^{-1}T^{-2}]$.Therefore,the pair that does not have the same dimensions is Surface tension and Impulse.

$I$ (Fundamental forces in nature)	$II$ (Relative strength)
$(A)$ Strong nuclear force	$(e)$ $10^{-2}$
$(B)$ Weak nuclear force	$(f)$ $1$
$(C)$ Electromagnetic force	$(g)$ $10^{10}$
$(D)$ Gravitational force	$(h)$ $10^{-13}$
	$(i)$ $10^{-39}$

List $I$ (Physical Quantity)	List $II$ (Dimensional Formula)
$(A)$ Pressure gradient	$(I)$ $[M^0 L^2 T^{-2}]$
$(B)$ Energy density	$(II)$ $[M^1 L^{-1} T^{-2}]$
$(C)$ Electric Field	$(III)$ $[M^1 L^{-2} T^{-2}]$
$(D)$ Latent heat	$(IV)$ $[M^1 L^1 T^{-3} A^{-1}]$

The pair of physical quantities not having the same dimensions is:

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