When the planet Jupiter is at a distance of 824.7 million kilometers from the Earth, its angular diameter is measured to be 35.72″ of arc. Calculate the diameter of Jupiter. | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-2 Units and Measurements



Q.24:- When the planet Jupiter is at a distance of 824.7 million kilometers from the Earth, its angular diameter is measured to be 35.72 of arc. Calculate the diameter of Jupiter.

 

Answer:-



Distance of Jupiter from the Earth, D = 824.7 × 106 km = 824.7 × 109 m
Angular diameter = 35.72 = 35.72 × 4.874 × 10-6 rad
Diameter of Jupiter = d
Using the relation,
θ = d/ D
d = θ D = 824.7 × 109 × 35.72 × 4.872 × 10-6
= 143520.76 × 103 m = 1.435 × 105 Km