Question

If g is the acceleration due to gravity and $\lambda$ is wavelength then which physical quantity does $\sqrt{\lambda g}$ represent?

• A. Velocity
• B. Length
• C. Time
• D. Charge

Answer 1

The correct option is A Velocity

Since $\lambda$ is wavelength, hence its dimension is that of length = $L$.
Dimension of g is $L{T}^{-2}$
Thus, dimension of $\sqrt{\lambda g}=\sqrt{L^2{T}^{-2}}=L{T}^{-1}$, which represents velocity.