Question

Which of the following pairs have same dimensions.
a) Torque and work
b) Angular momentum and work
c) Energy and Youngs modulus
d) Light year and wavelength

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

Answer 1

The correct option is D d and a are correct

Torque $=$ Work $=$ Energy $=\left[M{L}^2{T}^{-2}\right]$
Angular momentum $=mvr=\left[M{L}^2{T}^{-1}\right]$
Young's modulus $=\left[M{L}^{-1}{T}^{-2}\right]$
Light year and wavelength $=\left[M^0{L}^1{T}^0\right]$
Hence option D is correct.