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An astronomical telescope has an angular...

An astronomical telescope has an angular magnification of magnitude 5 for distant object. The separation between the objective and the eyepiece is 36 cm and the final image is formed at infinity. The focal length `f_(0)` of the objective and the focal length `f_(0)` of the eyepiece are

A

`f_(o) = 45" cm and " f_(e) ` = -9 cm

B

`f_(o) = 7.2" cm and " f_(e) ` = 5 cm

C

`f_(o) = 50" cm and " f_(e) ` = 10 cm

D

`f_(o) = 30" cm and " f_(e) ` = 6 cm

Text Solution

Verified by Experts

The correct Answer is:
D
`m = (f_(O))/(f_(e)) = 5 and L = f_(o) + f_(e) = 36`
`rArr 5 f_(e) + f_(e) = 36 rArr f_(e) = 6 cm, f_(O) = 30 cm `
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