First slide

Dimensions of physical quantities

Question

Solar constant is defined as energy received by earth per $c m^{2}$ per minute. The dimensions of solar constant are

Moderate

A

$[M L^{2} T^{- 3}]$
B

$[M^{2} L^{0} T^{- 1}]$
C

$[M L^{0} T^{- 3}]$
D

$[M L T^{- 2}]$

Solution

Solar constant $= \frac{e n e r g y}{c m^{2} \min}$
$∴$ The dimension of solar constant $= \frac{[M L^{2} T^{- 2}]}{[L^{2} T]} = [M L^{0} T^{- 3}]$

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