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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- How far should you hold a 2.1 cm-focal length magnifying glass from an object to obtain a magnification of 10 x ? Assume you place your eye 5.0 cm from the magnifying glass.arrow_forwardTwo thin lenses of focal lengths f1 = 15.0 and f2 = 10.0 cm, respectively, are separated by 35.0 cm along a common axis. The f1 lens is located to the left of the f2 lens. An object is now placed 50.0 cm to the left of the f1 lens, and a final image due to light passing though both lenses forms. By what factor is the final image different in size from the object? (a) 0.600 (b) 1.20 (c) 2.40 (d) 3.60 (e) none of those answersarrow_forwardTwo converging lenses having focal length of f1 = 10.0 cm and f2 = 20.0 cm are placed d = 50.0 cm apart, as shown in Figure P23.44. The final image is to be located between the lenses, at the position x = 31.0 cm indicated. (a) How far to the left of the first lens should the object be positioned? (b) What is the overall magnification of the system? (c) Is the final image uptight or inserted? Figure P23.44arrow_forward
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