Concept explainers
(a) To Determine:
Object distance using a ray diagram.
Answer to Problem 43P
Solution:
Explanation of Solution
Given:
A sharp image is located behind a focal-length converging lens.
i.e. Image distance, . Focal length, .
Formula used:
Lens equation,
and are 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:
From the equivalence of the triangle and we can write-
Magnification is given by-
From the diagram we can see that the object is placed behind the lens. Thus, object distance is negative. So, using ray diagram we get as .
(b) To Determine:
Object distance by calculation.
Answer to Problem 43P
Solution:
Explanation of Solution
Given:
A sharp image is located behind a focal-length converging lens.
i.e. Image distance, . Focal length, .
Formula used:
Lens equation,
and are 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:
Object distance can be calculated using the lens formula.
Here value of and are given, i.e., and . Thus substituting them in formula we get-
Negative sign indicate the direction.
Thus, object distance from calculation is .
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