Question

Dimension of the solar constant is 1) $M^{1}L^{0}T^{-3}$ 2)$M^{1}L^{1}T^{-3}$ 3) $M^{0}L^{0}T^{3}$ 4) $M^{1}L^{2}T^{-3}$

Answer 1

we have to find the dimensions of the solar constant.

Solution : solar constant is the rate at which Energy of sun reaches the earth's surface. usually, value of solar constant is 1388 watt/m²

mathematically, unit of Solar constant = unit of energy/ (time × area)

so, dimensions of solar constant = dimension of energy/(dimension of time × dimension of time)

= [ML²T¯²]/[T][L²]

= [MT¯³]

Therefore the dimensions of solar constant is [MT¯³]

Answer 2

AnswEr:-

» Solar constant is defined as the energy incident per unit area per second.

$\rightarrow \: Unit \: \: of \: \: solar \: \: constant \: \: is \: \: power /Area = watt/m^2$

$\rightarrow \: watt \: = \frac{joule}{sec }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ N-M}{sec}$

$\implies \: solar \: constant \: = \frac{ N-M}{sec - M {}^{2} } \\ \\ \\ \rightarrow \: dimension \: = \frac{ [MLT^-2][L]}{ [T][L^2] }= [MT {}^{ - 3} ]. \\ \\ </p><p>$

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