Which pair does not have equal dimensions?

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Question

(A) We analyze the dimensions of each pair:$1$. Force: $[MLT^{-2}]$; Impulse: $[MLT^{-1}]$. These are not equal.$2$. Angular momentum: $[ML^2T^{-1}]$;

Vedclass · Accepted Answer

Force and impulse

Vedclass · Answer

(A) We analyze the dimensions of each pair:$1$. Force: $[MLT^{-2}]$; Impulse: $[MLT^{-1}]$. These are not equal.$2$. Angular momentum: $[ML^2T^{-1}]$; Planck constant: $[ML^2T^{-1}]$. These are equal.$3$. Energy: $[ML^2T^{-2}]$; Torque: $[ML^2T^{-2}]$. These are equal.$4$. Elastic modulus: $[ML^{-1}T^{-2}]$; Pressure: $[ML^{-1}T^{-2}]$. These are equal.Therefore,the pair that does not have equal dimensions is Force and Impulse.

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