Question

# An astronomical telescope and a Galilean telescope use identical objective lenses. They have the same magnification, when both are in normal adjustment. The eyepiece of the astronomical telescope has a focal length f.

A
The tube length of the two telescopes differ by f.
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B
The tube length of the two telescopes differ by 2f.
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C
The Gaileans telescope has shorter tube length.
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D
The Gaileans telescope has longer tube length.
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Solution

## The correct option is C The Gaileans telescope has shorter tube length.In normal adjustment, tube length of an astronomical telescope is, LA=f0+fe .....(1) and tube length of the Galilean telescope is, LG=f0−fe .....(2) Where, f0 and fe are the focal lengths of the objective and the eyepiece respectively. From (1) and (2) we get, tube length of the Galilean telescope is shorter than astronomical telescope. Magnification, is same for both the telescopes, m=f0fe The difference in between the two telescopes is, |ΔL|=LA−LG =f0+fe−(f0−fe)=2fe Here, fe=f ∴|ΔL|=2f <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (B) and (C) is the correct answer. Why this question? This has been given to understand the basic difference between Galilean telescope and astronomical telescope, which is very important from JEE prospective.

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