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Draw diagrams to indicate qualitatively the position, nature, and size of the image formed by a converging lens of focal length f for the following object distances: (a) infinity, (b) greater than 2f, (c) equal to 2f, (d) between 2f and f, (e) equal to f, (f) less than f.
(a)
The position, nature, and size of the image formed by a converging lens of focal length
Answer to Problem 15SP
Solution:
The image is formed at the focus and is inverted, real, and highly diminished.
Explanation of Solution
Introduction:
Employ the rules of ray diagram for a convex lens to determine the position, nature, and size of the image formed.
Explanation:
The resulting ray diagram for an object kept at infinity is drawn below:
From the ray diagram given above, it is clear that the image is formed at the focus and is inverted, real, and highly diminished.
Conclusion:
Therefore, when the object is kept at an infinite distance from the lens, the image is formed at the focus and is inverted, real, and highly diminished.
(b)
The position, nature, and size of the image formed by a converging lens of focal length
Answer to Problem 15SP
Solution:
The image is formed between
Explanation of Solution
Introduction:
Employ the rules of ray diagram for a convex lens to determine the position, nature, and size of the image formed.
Explanation:
The resulting ray diagram for an object kept at a distance greater than
From the ray diagram given above, it is clear that the image is formed between
Conclusion:
Therefore, when the object is kept at a distance greater than
(c)
The position, nature, and size of the image formed by a converging lens of focal length
Answer to Problem 15SP
Solution:
The image is formed at
Explanation of Solution
Introduction:
Use the rules of ray diagram for a convex lens to determine the position, nature, and size of the image formed when the object is placed at
Explanation:
The resulting ray diagram for an object kept at a distance of
From the ray diagram given above, it is clear that the image is formed at
Conclusion:
Therefore, then the object is kept at a distance of
(d)
The position, nature, and size of the image formed by a converging lens of focal length
Answer to Problem 15SP
Solution:
The image is formed beyond
Explanation of Solution
Introduction:
Here, we shall employ the rules of ray diagram for a convex lens to determine the position, nature, and size of the image formed.
Explanation:
The resulting ray diagram for an object kept at a distance between
From the ray diagram given above, it is clear that the image is formed beyond
Conclusion:
Therefore, when the object is kept at a distance between
(e)
The position, nature, and size of the image formed by a converging lens of focal length
Answer to Problem 15SP
Solution:
The image is formed at infinity and is erect, virtual, and magnified.
Explanation of Solution
Introduction:
Use the rules of ray diagram for a convex lens to determine the position, nature, and size of the image formed, when the object is kept at a distance
Explanation:
The resulting ray diagram for an object kept at a distance
From the ray diagram given above, it is clear that the image is formed at infinity and is erect, virtual, and magnified.
Conclusion:
Therefore, when the object is kept at a distance
(f)
The position, nature, and size of the image formed by a converging lens of focal length
Answer to Problem 15SP
Solution:
The image is formed beyond
Explanation of Solution
Introduction:
Here, we shall employ the rules of ray diagram for a convex lens to determine the position, nature, and size of the image formed.
Explanation:
The resulting ray diagram for an object kept at a distance less than
From the ray diagram given above, it is clear that the image is formed beyond
Conclusion:
Therefore, when the object is kept at a distance less than
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Chapter 38 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
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