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JEE Main202224 Jun 2022Evening ShiftPhysicsUnits and DimensionsActual

Identify the pair of physical quantities that have same dimensions:

Options

  1. AVelocity gradient and decay constant
  2. BAngular frequency and angular momentum
  3. CWave number and Avogadro number
  4. DWein's constant and Stephan's constant

Correct answer

A. Velocity gradient and decay constant

Step-by-step solution

Decay constant is measured per unit time, λ = s - 1 So, its dimension is λ = T - 1 We know velocity gradient is defined as rate of change in velocity per unit of distance. So, dimension of velocity gradient is d v d x = L 1 T - 1 L 1 = T - 1

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