Question

The amount of solar energy received on the earth's surface per unit time is defined as solar constant. The dimension of solar constant is:

• A. $M{L}^2{T}^{-2}$
• B. $M{L}^0{T}^{-3}$
• C. $M^2{L}^0{T}^{-1}$
• D. $ML{T}^{-2}$

Answer 1

The correct option is B $M{L}^0{T}^{-3}$

$\text{Solar constant},R=\frac{\text{Energy}}{\text{Time}\times \text{Area}}$

$\text{Dimension of Energy,}E=M{L}^2{T}^{-2}$
$\text{Dimension of Time}=T$
$\text{Dimension of Area}=L^2$

$\therefore \text{Dimensions of Solar constant}$

$R=\frac{M^1{L}^2{T}^{-2}}{T{L}^2}=M^1{L}^0{T}^{-3}$

Hence, option $\left(B\right)$ is correct.