Amount of solar energy received on the earth's surface per unit area per unit time

Question:

Amount of solar energy received on the earth's surface per unit area per unit time is defined a solar constant. Dimension of solar constant is :

  1. $\mathrm{ML}^{2} \mathrm{~T}^{-2}$

  2. $\mathrm{ML}^{0} \mathrm{~T}^{-3}$

  3. $\mathrm{M}^{2} \mathrm{~L}^{0} \mathrm{~T}^{-1}$

  4. $\mathrm{MLT}^{-2}$


Correct Option: , 2

Solution:

(2) Solar constant $=\frac{\text { Energy }}{\text { Time Area }}$

Dimension of Energy, $E=\mathrm{ML}^{2} \mathrm{~T}^{-2}$

Dimension of Time $=\mathrm{T}$

Dimension of Area $=\mathrm{L}^{2}$

$\therefore$ Dimension of Solar constant

$=\frac{\mathrm{M}^{1} \mathrm{~L}^{2} \mathrm{~T}^{-2}}{\mathrm{TL}^{2}}=\mathrm{M}^{1} \mathrm{~L}^{0} \mathrm{~T}^{-3}$

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