Identify the pair of physical quantities that have same dimensions: (a) velocity gradient and decay constant (b) Wien's constant and Stefan constant (c) angular frequency and angular momentum (d) wave number and Avogadro number

Answer: (a). Velocity gradient dv/dx: LT⁻¹/L = T⁻¹. Decay constant ( N = N₀e-λ t): T⁻¹. Other pairs differ (e.g. angular frequency T⁻¹ vs angular momentum ML²T⁻¹; wave number L⁻¹ vs Avogadro number mol⁻¹). So the answer is (a).

Identify the pair of physical quantities that have same dimensions: | JEE Main 2022 (24 Jun, Shift 2)

Q52JEE Main 2022 · 24 JUN · SHIFT 2Easy

Units & Dimensions

Identify the pair of physical quantities that have same dimensions:

Show answer and solution

Answer: (a)

Velocity gradient $dv/dx$ : $\mathrm{LT^{-1}}/\mathrm{L} = \mathrm{T^{-1}}$ .
Decay constant ( $N = N_0e^{-\lambda t}$ ): $\mathrm{T^{-1}}$ .
Other pairs differ (e.g. angular frequency $\mathrm{T^{-1}}$ vs angular momentum $\mathrm{ML^2T^{-1}}$ ; wave number $\mathrm{L^{-1}}$ vs Avogadro number $\mathrm{mol^{-1}}$ ).
So the answer is (a).

Report a mistake

Units & Dimensions question from JEE Main 2022 (24 Jun, Shift 2)

More questions on Units & Dimensions