When planet Jupiter is at a distance of 824.7 million km from earth, its angular diameter is measured to be 35.72'' of arc. Calculate the diameter of Jupiter.

Name: When planet Jupiter is at a distance of 824.7 million km from earth, its angular diameter is measured to be 35.72'' of arc. Calculate the diameter of Jupiter.
Uploaded: 2019-07-26T10:42:39.000Z
Duration: 3 min 8 s
Description: When planet Jupiter is at a distance of 824.7 million km from earth, its angular diameter is measured to be 35.72'' of arc. Calculate the diameter of Jupiter.

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Answer Text

Solution :

Given angular dimeter `theta=35.72=35.72xx4.85xx10^(-6) rad` <br> `=173.242xx10^(-6)=1.73xx10^(-4) rad` <br> Diameter of Jupiter `D = theta xx d=1.73xx10^(-4)xx824.7xx10^(9) m` <br> `=1426.731xx10^(3)=1.43xx10^(8) m`