Question

Amount of solar energy received on the earth’s surface per unit area per unit time is defined a solar constant. write its dimensions

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

Answer 1

The correct option is A

$M{L}^0{T}^{-3}$

Step 1: Dimensions used:

Dimension of length $=L$

Dimension of Time $=T$

Dimension of Energy $=M{L}^2{T}^{-2}$

Step 2: Calculating the dimension:

$solarcons\tan t=\frac{Energy}{Area\times time}$

$=\frac{M{L}^2{T}^{-2}}{L\times L\times T}$

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

$=M{L}^0{T}^{-3}$

Hence, option A is the correct answer.