Question

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

• A. $12.5calmin^{- 1}cm^{2}$
• B. $25calmin^{- 1}cm^{2}$
• C. $0.32calmin^{- 1}cm^{2}$
• D. $2calmin^{- 1}cm^{2}$

Answer 1

Answer: (A)

Solar constant $S$
$ \begin{array}{l} S \propto \frac{1}{d^{2}} \Rightarrow \frac{S^{\prime}}{S}=\frac{(d}{\left(d^{\prime}\right)^{2}} \\ S^{\prime}=\frac{S \cdot d^{2}}{(0.4 d} \Rightarrow S^{\prime}=\frac{2}{(0.4}=12.5 \text { cal } min ^{-1} cm ^{2} \end{array} $