Concept explainers
(a)
The focal length of eyepiece.
(a)
Explanation of Solution
Given:
Magnifying power of microscope is
The angular magnification of eyepiece is
The distance of objective lens from eyepiece is
Formula used:
Write expression for angular magnification of eyepiece.
Here,
Calculation:
Substitute
Conclusion:
Thus, the focal length of eyepiece is
(b)
The location object so that it is in focus for normal eye.
(b)
Explanation of Solution
Given:
Magnifying power of microscope is
The angular magnification of eyepiece is
The distance of objective lens from eyepiece is
Formula used:
Write expression for angular magnification of eyepiece.
Here,
Write expression for image distance.
Write expression for magnifying power of microscope.
Rearrange above expression for
Substitute
Substitute
Rearrange above expression for
Calculation:
Substitute
Substitute
Conclusion:
Thus, the object is
(c)
The focal length of objective lens.
(c)
Explanation of Solution
Given:
Magnifying power of microscope is
The angular magnification of eyepiece is
The distance of objective lens from eyepiece is
Formula used:
Write expression for angular magnification of eyepiece.
Here,
Write expression for image distance.
Write expression for magnifying power of microscope.
Rearrange above expression for
Substitute
Substitute
Rearrange above expression for
Write expression for lens equation for objective lens.
Calculation:
Substitute
Substitute
Substitute
Conclusion:
Thus, the focal length of objective lens is
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Chapter 32 Solutions
Physics for Scientists and Engineers
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