Question

The dimensions of intensity of energy are

Answer 1

Dimension of intensity of energy:

1. The intensity of energy is the energy flowing per unit area per unit time.
2. It is given by $I=\frac{E}{At}$ (where E is the energy, A is the area and t is time)
3. Energy has dimensions $M^1{L}^2{T}^{-2}$
4. Area has dimensions $L^2$
5. Time has dimensions $T^1$
6. Therefore, $$\begin{gathered} I=\frac{\left[M^1{L}^2{T}^{-2}\right]}{\left[L^2\right]\left[T^1\right]} \\ =\left[M^1{L}^0{T}^{-3}\right] \end{gathered}$$

Hence, the dimensions of the intensity of energy are $\left[M^1{L}^0{T}^{-3}\right]$