Ncert Exercises & Solutions

When the planet Jupiter is at a distance of 824.7 million kilometres from the Earth, its angular diameter is measured to be 35.72” of arc. Calculate the diameter of Jupiter.

Given angular diameter θ = 35.72= 35.72 x 4.85 x 10^-6 rad
= 173.242 x 10^-6 = 1.73 x 10^-4 rad
Diameter of Jupiter D = θ x d = 1.73 x 10^-4 x 824.7 x 10⁹ m
=1426.731 x 10³ = 1.43 x 10⁸ m