Which of the following pairs of physical quan | vedclass

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Question

(B) The dimensional formulas for the given physical quantities are as follows:$[$Force$] = [MLT^{-2}]$$[$Surface tension$] = [MT^{-2}]$$[$Frequency$]

Vedclass · Accepted Answer

Frequency and velocity gradient

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(B) The dimensional formulas for the given physical quantities are as follows:$[$Force$] = [MLT^{-2}]$$[$Surface tension$] = [MT^{-2}]$$[$Frequency$] = [T^{-1}]$$[$Velocity gradient$] = [T^{-1}]$$[$Angular speed$] = [T^{-1}]$$[$Solid angle$] = [M^0L^0T^0]$ (Dimensionless)$[$Stefan's constant$] = [MT^{-3}K^{-4}]$$[$Planck's constant$] = [ML^2T^{-1}]$Comparing these,we observe that frequency and velocity gradient both have the dimension $[T^{-1}]$.Therefore,the correct pair is frequency and velocity gradient.

Which of the following pairs of physical quantities possess the same dimension?

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