If the angular diameter of the Jupiter is 36" and its distance from the earth is 8.25 ×10^8
km then find the diameter of the Jupiter.
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Answer:
Distance of jupiter from the earth (D)=825×10
6
×10
3
m=8.25×10
11
Angular diameter (θ)=36
′
=36×4.874×10
−6
rad=1.75×10
−4
As we know that,
θ=
D
d
⇒d=θ×D
⇒d=1.75×10
−4
×8.25×10
11
=1.44×10
8
m=1.44×10
5
km
Hence the diameter of the jupiter is 1.44×10
5
km.
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