Question

The intensity of a wave is defined as the energy transmitted per unit area per second. Which of the following represents the dimensional formula for the intensity of the wave?

• A. ${MT}^{-2}$
• B. ${MT}^{-3}$
• C. ${MT}^{-1}$
• D. ${ML}^{4}T$

Answer 1

The correct option is B ${MT}^{-3}$

$I=\frac{E}{A}\times \frac{1}{T}=\left(M\frac{L^2}{T^2}\right)\times \frac{1}{L^2}\times \frac{1}{T}=M{T}^{-3}$

Hence, option B is correct.