Match the physical quantities in Column-I wit | vedclass

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(A) The dimensional formulas are calculated as follows:$(1)$ Torque $(	au) = 	ext{Force} 	imes 	ext{Distance} = [MLT^{-2}] 	imes [L] = [ML^2T^{-2

Vedclass · Accepted Answer

$1-c, 2-b, 3-a$

Vedclass · Answer

(A) The dimensional formulas are calculated as follows:$(1)$ Torque $(	au) = 	ext{Force} 	imes 	ext{Distance} = [MLT^{-2}] 	imes [L] = [ML^2T^{-2}]$. Thus, $(1) - (c)$.$(2)$ Angular momentum $(L) = 	ext{Moment of inertia} 	imes 	ext{Angular velocity} = [ML^2] 	imes [T^{-1}] = [ML^2T^{-1}]$. Thus, $(2) - (b)$.$(3)$ Linear momentum $(p) = 	ext{Mass} 	imes 	ext{Velocity} = [M] 	imes [LT^{-1}] = [MLT^{-1}]$. Thus, $(3) - (a)$.Therefore, the correct matching is $1-c, 2-b, 3-a$.

Column-$I$	Column-$II$
$(1)$ Torque	$(a)$ $M^1L^1T^{-1}$
$(2)$ Angular momentum	$(b)$ $M^1L^2T^{-1}$
$(3)$ Linear momentum	$(c)$ $M^1L^2T^{-2}$

Match the physical quantities in Column-$I$ with their corresponding dimensional formulas in Column-$II$.

Column-$I$ Column-$II$

$(1)$ Torque $(a)$ $M^1L^1T^{-1}$

$(2)$ Angular momentum $(b)$ $M^1L^2T^{-1}$

$(3)$ Linear momentum $(c)$ $M^1L^2T^{-2}$

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Match the physical quantities in Column-$I$ with their corresponding dimensional formulas in Column-$II$. Column-$I$ Column-$II$ $(1)$ Torque $(a)$ $M^1L^1T^{-1}$ $(2)$ Angular momentum $(b)$ $M^1L^2T^{-1}$ $(3)$ Linear momentum $(c)$ $M^1L^2T^{-2}$