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A 20xtelescope has a 12cmdiameter objective lens. What minimum diameter must the eyepiece lens have to collect all the light rays from an on-axis distant source?

Short Answer

Expert verified

The minimum diameter is6mm.

Step by step solution

01

Given Information.

We have given that:

Magnification isM=20,

Objective lens = 12cmdiameter.

We need to find what minimum diameter must the eyepiece lens have to collect all the light rays from an on-axis distant source.

02

Simplification.

Firstly, we need to find the focal length of eyepiece feye

As we know

M=20

localid="1648754018228" fobj=12cm2=6cm.

Since,

M=fobjfeye

feye=fobjM

feye=6cm20

feye=0.3cm

Therefore the diameter D of the eyepiece:

D=20.3cm

localid="1648632623279" =0.6cm6mm

Here Dis the diameter, feyeis the focal length of i, fobjis the focal length of the object,Mis a magnification.

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