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Home » 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.
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.
CBSE | Class 11 | NCERT | Physics | Units and Measurements
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.

Answer:

According to the question, distance of the planet Jupiter from Earth is D = 824.7 million kilometres 

Or, D = 824.7 x 106 km

And the Angular diameter θ = 35.72 “ = 35.72 x 4.85 x 10-6 rad
θ = 173.242 x 10-6 rad
Expression for diameter of Jupiter is as follows –

d = θ x D

d = 173.241 x 10-6x 824.7 x 106 km
d =142871 = 1.43 x 105 km

i

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