The dimensions of angular momentum,latent hea | vedclass

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Question

(D) $1$. Angular momentum $(L)$ is given by $L = mvr$. The dimensions are $[M] 	imes [LT^{-1}] 	imes [L] = [ML^2T^{-1}]$.$2$. Latent heat $(L_h)$ is

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$ML^2T^{-1}, L^2T^{-2}, M^{-1}L^{-2}T^4A^2$

Vedclass · Answer

(D) $1$. Angular momentum $(L)$ is given by $L = mvr$. The dimensions are $[M] 	imes [LT^{-1}] 	imes [L] = [ML^2T^{-1}]$.$2$. Latent heat $(L_h)$ is given by $L_h = Q/m$. The dimensions are $[ML^2T^{-2}] / [M] = [L^2T^{-2}]$.$3$. Capacitance $(C)$ is given by $C = Q/V$. Since $V = W/Q$,$C = Q^2/W$. The dimensions are $[AT]^2 / [ML^2T^{-2}] = [M^{-1}L^{-2}T^4A^2]$.Thus,the correct sequence is $[ML^2T^{-1}], [L^2T^{-2}], [M^{-1}L^{-2}T^4A^2]$.

The dimensions of angular momentum,latent heat,and capacitance are,respectively:

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