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An astronomical telescope consists of th...

An astronomical telescope consists of the thin lenses, `36 cm` apart and has a magnifying power `8`. Calculate the focal length of lenses. Two stars have an actual separation of one minute of arc. Find the angle of separation as seen through the telescope.

Text Solution

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Here, `L = 36 cm, m = 8, f_(0) = ?,f_(e) = ?`,
As `m = (f_(0))/(f_(e)) = 8 :. F_(0) = 8 f_(e)`
Now `L = f_(0) + f_(e) = 8 f_(e) + f_(e) = 9 f_(e) = 36`
`f_(e) = (36)/(9) = 4 cm f_(0) = 36 - f_(e) = 36 - 4 = 32 cm`
Angle of separation as seen through telescope
`= m xx` actual separation
`= 8 xx 1' = 8'`
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