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1.Units, Dimensions and Measurement
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The pair(s) of physical quantities that have the same dimensions, is (are)
AReynolds number and coefficient of friction
BLatent heat and gravitational potential
CCurie and frequency of a light wave
DAll of these
(IIT-1995)
Solution
(d) Reynolds number and coefficient of friction are dimensionless.
Latent heat and gravitational potential both have dimension $[{L^2}{T^{ – 2}}]$.
Curie and frequency of a light wave both have dimension $[{T^{ – 1}}]$. But dimensions of Planck's constant is $[{T^{ – 1}}]$ and torque is $[M{L^2}{T^{ – 2}}]$.
Latent heat and gravitational potential both have dimension $[{L^2}{T^{ – 2}}]$.
Curie and frequency of a light wave both have dimension $[{T^{ – 1}}]$. But dimensions of Planck's constant is $[{T^{ – 1}}]$ and torque is $[M{L^2}{T^{ – 2}}]$.
Standard 11
Physics