Question

Consider two planets A and B with radii 2, and r, respectively. Let their distances from the Sun bed and 2d, respectively. The solar constants for A (FSA) and B (FSB) are related by A. FSA = -FSB C. Fsa = 4FSB B. FSA = FSB D. Fsa = 2F58 SA SB​

Answer 1

Answer:

Consider two planets A and B with radii 2r and r, respectively. Let their distances form the Sun be d and 2d , respectively. The solar constants for A (Fsa) and B (Fsb) are related by

A) Fsa=14Fsb

                           

B) Fsa=Fsb

C) Fsa=4Fsb                                                      

D) Fsa=2Fsb

Solution:

Solar constant (S)=E×R2r2 ------------------------(1)

R- radius of the Sun

r- radius of earth’s orbit around the Sun

( Sun- planets distance)

FSA=E×R2r2SA ------------------(2)

rSA – Sun- planet A distance

FSB=E×R2r2SB----------------------(3)

rSB- Sun-planet B distance

Divide equation (2) by (3)

FSAFSB=E×R2r2SAE×R2r2SB

FSAFSB=1r2SA1r2SB

Given in above problem rSA= d

                                    rSB= 2d

FSAFSB=1d21(2d)2

FSAFSB=1d214d2

FSA= 4 FSB

Therefore Solar constant relation between planet A

and planet B is given above.

Explanation:

I hope this helped