Chapter 35: Q. 35 (page 1018)

The objective lens of a telescope is a symmetric glass lens with $100 c m$ radii of curvature. The eyepiece lens is also a symmetric glass lens. What are the radii of curvature of the eyepiece lens if the telescope’s magnification is $20 \times$ ?

Short Answer

Expert verified

The radii of curvature of the eyepiece lens is $R_{e y e} = 5 c m$ .

Step by step solution

Given Information.

We have given a symmetric glass lens with $100 c m$ radii of curvature.

We need to find the radii of curvature.

Calculation.

As we know that:

$M = 20 R_{e y e} = 2 f_{e y e} f_{o b j} = \frac{R}{2} = \frac{100}{2} = 50$

Magnification is related to:

$M = \frac{f_{o b j}}{f_{e y e}} f_{e y e} = \frac{f_{o b j}}{M} f_{e y e} = \frac{50 c m}{20 c m} f_{e y e} = \frac{5}{2} c m$

Here $M$ is magnification, $f_{o b j}$ is the focal length of the object and $f_{e y e}$ is the focal length of the eye.

The radius of the eyepiece $R_{e y e}$ is :

$R_{e y e} = 2 f_{e y e} R_{e y e} = 2 \times \frac{5}{2} R_{e y e} = 5 c m$

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The objective lens of a telescope is a symmetric glass lens with $100 c m$ radii of curvature. The eyepiece lens is also a symmetric glass lens. What are the radii of curvature of the eyepiece lens if the telescope’s magnification is $20 \times$ ?

Short Answer

Step by step solution

Given Information.

Calculation.

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The objective lens of a telescope is a symmetric glass lens with 100cmradii of curvature. The eyepiece lens is also a symmetric glass lens. What are the radii of curvature of the eyepiece lens if the telescope’s magnification is 20×?

Short Answer

Step by step solution

Given Information.

Calculation.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Kinematics Physics

Rotational Dynamics

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Study anywhere. Anytime. Across all devices.

The objective lens of a telescope is a symmetric glass lens with $100 c m$ radii of curvature. The eyepiece lens is also a symmetric glass lens. What are the radii of curvature of the eyepiece lens if the telescope’s magnification is $20 \times$ ?