Solar constant is defined as energy received by earth per cm^2 per minute. The dimensions of sol

step 1 Dear students, in problem 52 of chapter 1st we have asked that solar constant is defined as the

Solar constant is defined as energy received by earth per...

Solar constant is defined as energy received by earth per $\mathrm{cm}^{2}$ per minute. The dimensions of solar constant are (b) $\left[\mathrm{M}^{2} \mathrm{~L}^{0} \mathrm{~T}^{-1}\right]$ (a) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-3}\right]$ (c) $\left[\mathrm{ML}^{0} \mathrm{~T}^{-3}\right]$ (d) $\left[\mathrm{MLT}^{-2}\right]$

Solar constant is defined as energy received by earth per $\mathrm{cm}^{2}$ per minute. The dimensions of solar constant are
(b) $\left[\mathrm{M}^{2} \mathrm{~L}^{0} \mathrm{~T}^{-1}\right]$
(a) $\left[\mathrm{ML}^{2} \mathrm{~T}^{-3}\right]$
(c) $\left[\mathrm{ML}^{0} \mathrm{~T}^{-3}\right]$
(d) $\left[\mathrm{MLT}^{-2}\right]$

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Key Concepts

Power Density (Flux)

Power density, or flux, is the amount of power per unit area. For the solar constant, which represents energy received per unit area per unit time, the dimensions are obtained by dividing the dimensions of power (ML^2T^-3) by the area (L^2), resulting in dimensions of M T^-3.

Solar Constant

The solar constant is a specific example of power density, quantifying the amount of solar energy received per unit area per unit time, typically measured in terms of energy per square centimeter per minute or its equivalents in SI units.

Dimensional Analysis

Dimensional analysis is a method used to determine the relationship between different physical quantities by identifying their base dimensions (mass, length, time, etc.). It ensures that equations are consistent and helps derive dimensions of derived quantities.

Energy and Power

Energy, with dimensions ML^2T^-2, measures the capacity to do work. Power is defined as the rate of energy transfer (energy per unit time), so its dimensions are ML^2T^-3. When power is distributed over an area, the area (with dimensions L^2) divides out the length factor.

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