NCERT Solutions Class 11 Physics - Solved Exercise Question 2.24

Question 2.24:

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.

Solution:

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

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