Concept explainers
(a)
How far from a focal length lens must be placed if its image is to be magnified times and be real.
Answer to Problem 55P
Solution:
The virtual object should be after the lens.
Explanation of Solution
Given:
Focal length .
Formula used:
Lens equation,
and are lens to focal, lens to object and lens to image distances respectively, negative when opposite to optical path and positive when in the direction of optical path.
Magnification,
Calculation:
For the image to be real v, u should have same sign for a negative lens. Thus,
Putting this in the lens equation we get,
This gives,
(b)
What if the image is to virtual and magnified.
Answer to Problem 55P
Solution:
The virtual object should be placed after the lens.
Explanation of Solution
Given:
Focal length .
Formula used:
Lens equation,
and are lens to focal, lens to object and lens to image distances respectively, negative when opposite to optical path and positive when in the direction of optical path.
Magnification,
Calculation:
For image to be virtual should be of the opposite sign.
Putting this in the lens equation,
This gives,
Chapter 23 Solutions
Physics: Principles with Applications
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