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A convex mirror of focal length f and a convex lens of focal length of f/2 placed at a distance 2f apart. the final image is formed at the middle of the lens and mirror find the distance of object from lens. Answer : 5f/8 Please explain?
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A convex mirror of focal length f and a convex lens of focal length of...
Given:
- Focal length of convex mirror = f
- Focal length of convex lens = f/2
- Distance between mirror and lens = 2f
- Final image is formed at the middle of the lens
To find: Distance of object from lens
Explanation:
Step 1: Finding the position of the image formed by the convex mirror
- The convex mirror forms a virtual image
- Using the mirror formula, 1/f = 1/v - 1/u, where u is the object distance and v is the image distance
- As the image is virtual, v will be negative
- Plugging the values, we get v = -u/(2u/f - 1)
Step 2: Finding the position of the image formed by the convex lens
- The convex lens forms a real image
- Using the lens formula, 1/f = 1/v - 1/u
- Plugging the values, we get v = 2f
Step 3: Finding the position of the object
- As the final image is formed at the middle of the lens, the distance of the object from the lens will be the average of the image distances formed by the mirror and the lens
- So, (v1 + v2)/2 = d, where d is the distance of the object from the lens
- Plugging the values, we get (-u/(2u/f - 1) + 2f)/2 = d
- Simplifying and solving for u, we get u = 5f/8
Answer: The distance of the object from the lens is 5f/8.
- Focal length of convex mirror = f
- Focal length of convex lens = f/2
- Distance between mirror and lens = 2f
- Final image is formed at the middle of the lens
To find: Distance of object from lens
Explanation:
Step 1: Finding the position of the image formed by the convex mirror
- The convex mirror forms a virtual image
- Using the mirror formula, 1/f = 1/v - 1/u, where u is the object distance and v is the image distance
- As the image is virtual, v will be negative
- Plugging the values, we get v = -u/(2u/f - 1)
Step 2: Finding the position of the image formed by the convex lens
- The convex lens forms a real image
- Using the lens formula, 1/f = 1/v - 1/u
- Plugging the values, we get v = 2f
Step 3: Finding the position of the object
- As the final image is formed at the middle of the lens, the distance of the object from the lens will be the average of the image distances formed by the mirror and the lens
- So, (v1 + v2)/2 = d, where d is the distance of the object from the lens
- Plugging the values, we get (-u/(2u/f - 1) + 2f)/2 = d
- Simplifying and solving for u, we get u = 5f/8
Answer: The distance of the object from the lens is 5f/8.
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A convex mirror of focal length f and a convex lens of focal length of f/2 placed at a distance 2f apart. the final image is formed at the middle of the lens and mirror find the distance of object from lens. Answer : 5f/8 Please explain?
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A convex mirror of focal length f and a convex lens of focal length of f/2 placed at a distance 2f apart. the final image is formed at the middle of the lens and mirror find the distance of object from lens. Answer : 5f/8 Please explain? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A convex mirror of focal length f and a convex lens of focal length of f/2 placed at a distance 2f apart. the final image is formed at the middle of the lens and mirror find the distance of object from lens. Answer : 5f/8 Please explain? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A convex mirror of focal length f and a convex lens of focal length of f/2 placed at a distance 2f apart. the final image is formed at the middle of the lens and mirror find the distance of object from lens. Answer : 5f/8 Please explain?.
A convex mirror of focal length f and a convex lens of focal length of f/2 placed at a distance 2f apart. the final image is formed at the middle of the lens and mirror find the distance of object from lens. Answer : 5f/8 Please explain? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A convex mirror of focal length f and a convex lens of focal length of f/2 placed at a distance 2f apart. the final image is formed at the middle of the lens and mirror find the distance of object from lens. Answer : 5f/8 Please explain? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A convex mirror of focal length f and a convex lens of focal length of f/2 placed at a distance 2f apart. the final image is formed at the middle of the lens and mirror find the distance of object from lens. Answer : 5f/8 Please explain?.
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