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:

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: (A) ML 2 T -2 (B) MLT -2 (C) M 2 L 0 T -1 (D) ML 0 T -3

Tardigrade Admin · Accepted Answer

Solar constant, R =( text Energy / text Time × text Area ) Dimension of Energy, E = ML 2 T -2 Dimension of Time =T Dimension of Area =L2 ∴ Dimensions of Solar constant R=(M1 L2 T-2/T L2)=M1 L0 T-3

Q. 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:

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

$M L T^{- 2}$

$M^{2} L^{0} T^{- 1}$

$M L^{0} T^{- 3}$

Solar constant, $R = \frac{Energy}{Time \times Area}$
Dimension of Energy, $E = M L^{2} T^{- 2}$
Dimension of Time $= T$
Dimension of Area $= L^{2}$
$∴$ Dimensions of Solar constant
$R = \frac{M ^{1} L ^{2} T ^{- 2}}{T L ^{2}} = M^{1} L^{0} T^{- 3}$

Q. 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:

ML2T−2

MLT−2

M2L0T−1

ML0T−3

Solar constant, R= Time × Area Energy ​ Dimension of Energy, E=ML2T−2 Dimension of Time =T Dimension of Area =L2 ∴ Dimensions of Solar constant R=TL2M1L2T−2​=M1L0T−3

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

$M L T^{- 2}$

$M^{2} L^{0} T^{- 1}$

$M L^{0} T^{- 3}$

Solar constant, $R = \frac{Energy}{Time \times Area}$
Dimension of Energy, $E = M L^{2} T^{- 2}$
Dimension of Time $= T$
Dimension of Area $= L^{2}$
$∴$ Dimensions of Solar constant
$R = \frac{M ^{1} L ^{2} T ^{- 2}}{T L ^{2}} = M^{1} L^{0} T^{- 3}$