The solar constant is defined as the energy incident per unit area per second. The dimensional formula for…

The solar constant is defined as the energy incident per unit area per second. The dimensional formula for solar constant is
  1. $\left[\mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{0}\right]$
  2. $\left[\mathrm{MLT}^{-2}\right]$
  3. $\left[\mathrm{ML}^{2} \mathrm{~T}^{-2}\right]$
  4. $\left[\mathrm{ML}^{0} \mathrm{~T}^{-3}\right]$

Solution

Energy incident per unit area per second $=\frac{\text { Energy }}{\text { area } \times \text { second }}=\frac{\mathrm{ML}^{2} \mathrm{~T}^{-2}}{\mathrm{~L}^{2} \mathrm{~T}}=\mathrm{MT}^{-3}$ *

Asked in: JEE Mains - Units and Dimensions - Test 3

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