Concept explainers
(a)
The location at which a scree has to be placed to display an image.
(a)
Answer to Problem 19P
The location at which a screen has to be placed to display an image is
Explanation of Solution
Given that the focal length of the converging lens is
Write the thin lens formula for the first lens (converging lens)
Here,
Solve equation (I) for
Write the thin lens formula for the second lens.
Here,
Solve equation (III) for
Write the expression for the object distance for the second lens.
Here,
Use equation (II) in (IV).
Conclusion:
Substitute
Substitute
This indicates that the image is virtual, so it cannot be displayed on the screen. On the other hand, a card can be placed in between the two lenses, at
Therefore, the location at which a screen has to be placed to display an image is
(b)
The location at which a scree has to be placed to display an image when the separation of the lenses is
(b)
Answer to Problem 19P
The location at which a screen has to be placed to display an image is
Explanation of Solution
Given that the focal length of the converging lens is
Equation (VI) gives the distance between the diverging lens and its object.
Equation (IV) gives the distance between the diverging lens and its image.
Conclusion:
Substitute
Substitute
This indicates that the image is real, so it can be displayed on the screen. A screen can be placed at
Therefore, the location at which a screen has to be placed to display an image is
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Chapter 24 Solutions
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