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Distance between the earth and the moon...

Distance between the earth and the moon is 386242.56 km and diameter of the moon is 3218.69 km. if focal length of the objective of a telescope is 0.018288 km then what is the diameter of real image of the moon formed by the objective ?

Text Solution

Verified by Experts

Moon is at a large distance from earth so image will be formed at focal plane of objective.
Now, `("distance of the image")/("diameter of the image ")=("distance of the moon")/("diameter of the moon")`
or, `(0.018288)/("diameter of the image")=(386242.56)/(3218.69)`
`therefore` Diameter of the image =`(0.018288xx3218.69)/(386242.56)=1.52xx10^(-4) km`
Hence, diameter of real image of the moon is `1.52xx10^(-4)km.`
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