Solar constant for earth is 2calmin- 1cm2 , if distance of mercury from sun is 0.4 times than distance of earth from sun then solar constant for mercury will be?

Question

Solar constant for earth is 2calmin- 1cm2 , if distance of mercury from sun is 0.4 times than distance of earth from sun then solar constant for mercury will be? (A) 12.5calmin- 1cm2 (B) 25calmin- 1cm2 (C) 0.32calmin- 1cm2 (D) 2calmin- 1cm2

Tardigrade Admin · Accepted Answer

Solar constant S beginarrayl S propto (1/d2) ⇒ (S prime/S)=((d/(d prime)2) S prime=(S ⋅ d2/(0.4 d) ⇒ S prime=(2/(0.4)=12.5 text cal min -1 cm 2 endarray

Q. Solar constant for earth is $2 c a l mi n^{- 1} c m^{2}$ , if distance of mercury from sun is $0.4$ times than distance of earth from sun then solar constant for mercury will be?

$12.5 c a l mi n^{- 1} c m^{2}$

$25 c a l mi n^{- 1} c m^{2}$

$0.32 c a l mi n^{- 1} c m^{2}$

$2 c a l mi n^{- 1} c m^{2}$

Solar constant $S$
$S \propto \frac{1}{d ^{2}} \Rightarrow \frac{S ^{'}}{S} = \frac{( d}{( d ^{'} ) ^{2}} S^{'} = \frac{S \cdot d ^{2}}{( 0.4 d} \Rightarrow S^{'} = \frac{2}{( 0.4} = 12.5 cal mi n^{- 1} c m^{2}$

Q. Solar constant for earth is 2calmin−1cm2 , if distance of mercury from sun is 0.4 times than distance of earth from sun then solar constant for mercury will be?

12.5calmin−1cm2

25calmin−1cm2

0.32calmin−1cm2

2calmin−1cm2