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Telescopes

In an astrono...

Question

In an astronomical telescope, the distance between the objective and the eyepiece is $36 c m$ and the final image is formed at infinity. The focal length $f_{0}$ of the objective and the focal length $f_{e}$ of the eyepiece are

f_{0} = 45 c m

and

f_{e} = - 9 c m

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f_{0} = 50 c m

and

f_{e} = 10 c m

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f_{0} = 7.2 c m

and

f_{e} = 5 c m

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f_{0} = 30 c m

and

f_{e} = 6 c m

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Solution

The correct options are
A $f_{0} = 45 c m$ and $f_{e} = - 9 c m$
B $f_{0} = 50 c m$ and $f_{e} = 10 c m$
The focal lengths be $f_{o}$ and $f_{e}$

then $f_{o} + f_{e} = 36$ for the image to be at infinity

option $A$ is correct as $45 - 9 = 36$

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