Question

The pair of physical quantities that have same dimensions are:
a) Reynold's number and coefficient of friction
b) Latent heat and gravitational potential
c) Curie and frequency of light wave
d) Planck constant and torque

• A. b and c are correct
• B. a and b are correct
• C. a, b and c are correct
• D. all are correct

Answer 1

Answer: (C)

a, b and c are correct

Coefficient of friction and Reynolds no. have no dimensions.
Planck's constant $=M{L}^2{T}^{-1}$
Torque $=M{L}^2{T}^{-2}$
Latent heat $=\frac{energy}{mass}=\frac{M^1{L}^2{T}^{-2}}{M}=L^2{T}^{-2}$
Gravitational potential $=\frac{GM}{r}=\frac{force}{mass}\times r$$=\frac{M^1{L}^1{T}^{-2}}{M^1}\times L^1$$=L^2{T}^{-2}$
Curie $=$ freq $=M^0{L}^0{T}^{-1}$