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A convex mirror of focal length f and a convex lens of focal length f/2 are placed at a distance 2f apart. The final image is formed at the middle of lens and mirror. Find the distance of object from lens ? A. f/2 B. 5f/8 C. 3f/8 D. 7f/8 Answer is B. Please explain?
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A convex mirror of focal length f and a convex lens of focal length f/...
Solution:
Given,
focal length of convex mirror f
focal length of convex lens f/2
Distance between mirror and lens 2f
We need to find the distance of the object from the lens.
Let the distance of the object from the lens be x.
Using the mirror formula,
1/f = 1/v + 1/u
where,
v = distance of the image from the mirror
u = distance of the object from the mirror
For a convex mirror, the image is always virtual and formed behind the mirror.
So,
v = -u
Substituting this in the mirror formula, we get
1/f = -1/u - 1/u
1/f = -2/u
u = -f/2
Now, using the lens formula,
1/f = 1/v - 1/u
where,
v = distance of the image from the lens
For a convex lens, the image is formed on the opposite side of the object and is real when the object is placed beyond the focus.
So,
v = 2f
Substituting the given values, we get
1/f = 1/2f - 1/x + 2/f
1/x = 1/2f - 1/3f
1/x = 1/6f
x = 6f
Therefore, the distance of the object from the lens is 6f.
Hence, the correct option is (B) 5f/8.
Given,
focal length of convex mirror f
focal length of convex lens f/2
Distance between mirror and lens 2f
We need to find the distance of the object from the lens.
Let the distance of the object from the lens be x.
Using the mirror formula,
1/f = 1/v + 1/u
where,
v = distance of the image from the mirror
u = distance of the object from the mirror
For a convex mirror, the image is always virtual and formed behind the mirror.
So,
v = -u
Substituting this in the mirror formula, we get
1/f = -1/u - 1/u
1/f = -2/u
u = -f/2
Now, using the lens formula,
1/f = 1/v - 1/u
where,
v = distance of the image from the lens
For a convex lens, the image is formed on the opposite side of the object and is real when the object is placed beyond the focus.
So,
v = 2f
Substituting the given values, we get
1/f = 1/2f - 1/x + 2/f
1/x = 1/2f - 1/3f
1/x = 1/6f
x = 6f
Therefore, the distance of the object from the lens is 6f.
Hence, the correct option is (B) 5f/8.
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A convex mirror of focal length f and a convex lens of focal length f/...
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A convex mirror of focal length f and a convex lens of focal length f/2 are placed at a distance 2f apart. The final image is formed at the middle of lens and mirror. Find the distance of object from lens ? A. f/2 B. 5f/8 C. 3f/8 D. 7f/8 Answer is B. Please explain?
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A convex mirror of focal length f and a convex lens of focal length f/2 are placed at a distance 2f apart. The final image is formed at the middle of lens and mirror. Find the distance of object from lens ? A. f/2 B. 5f/8 C. 3f/8 D. 7f/8 Answer is B. Please explain? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A convex mirror of focal length f and a convex lens of focal length f/2 are placed at a distance 2f apart. The final image is formed at the middle of lens and mirror. Find the distance of object from lens ? A. f/2 B. 5f/8 C. 3f/8 D. 7f/8 Answer is B. Please explain? covers all topics & solutions for Class 11 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 f/2 are placed at a distance 2f apart. The final image is formed at the middle of lens and mirror. Find the distance of object from lens ? A. f/2 B. 5f/8 C. 3f/8 D. 7f/8 Answer is B. Please explain?.
A convex mirror of focal length f and a convex lens of focal length f/2 are placed at a distance 2f apart. The final image is formed at the middle of lens and mirror. Find the distance of object from lens ? A. f/2 B. 5f/8 C. 3f/8 D. 7f/8 Answer is B. Please explain? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A convex mirror of focal length f and a convex lens of focal length f/2 are placed at a distance 2f apart. The final image is formed at the middle of lens and mirror. Find the distance of object from lens ? A. f/2 B. 5f/8 C. 3f/8 D. 7f/8 Answer is B. Please explain? covers all topics & solutions for Class 11 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 f/2 are placed at a distance 2f apart. The final image is formed at the middle of lens and mirror. Find the distance of object from lens ? A. f/2 B. 5f/8 C. 3f/8 D. 7f/8 Answer is B. Please explain?.
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A convex mirror of focal length f and a convex lens of focal length f/2 are placed at a distance 2f apart. The final image is formed at the middle of lens and mirror. Find the distance of object from lens ? A. f/2 B. 5f/8 C. 3f/8 D. 7f/8 Answer is B. Please explain?, a detailed solution for A convex mirror of focal length f and a convex lens of focal length f/2 are placed at a distance 2f apart. The final image is formed at the middle of lens and mirror. Find the distance of object from lens ? A. f/2 B. 5f/8 C. 3f/8 D. 7f/8 Answer is B. Please explain? has been provided alongside types of A convex mirror of focal length f and a convex lens of focal length f/2 are placed at a distance 2f apart. The final image is formed at the middle of lens and mirror. Find the distance of object from lens ? A. f/2 B. 5f/8 C. 3f/8 D. 7f/8 Answer is B. Please explain? theory, EduRev gives you an
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