Identify the pair of physical quantities that have same dimensions:

Decay constant is measured per unit time, $\lambda = {s}^{- 1}$

So, its dimension is \left[\lambda\right] = \left[{T}^{- 1}\right]$</p><p>We know velocity gradient is defined as rate of change in velocity per unit of distance. So, dimension of velocity gradient is </p><p>$\left[\dfrac{dv}{dx}\right] = \dfrac{\left[{L}^{1}{T}^{- 1}\right]}{\left[{L}^{1}\right]} = \left[{T}^{- 1}\right]