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A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On theother side of the lens, at what distance from thelens a convex mirror of radius of curvature 10 cmbe placed in order to have an upright image of theobject coincident with it? [1998]
- a)12 cm
- b)30 cm
- c)50 cm
- d)60 cm
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A luminous object is placed at a distance of 30 cm from the convex len...
For the lens,
Coincidence is possible when the image is
formed at the centre of curvature of the
mirror. Only then the rays refracting through
the lens will fall normally on the convex mirror
and retrace their path to form the image at O.
So, the distance between lens and mirror
= 60 – 10 = 50 cm.
formed at the centre of curvature of the
mirror. Only then the rays refracting through
the lens will fall normally on the convex mirror
and retrace their path to form the image at O.
So, the distance between lens and mirror
= 60 – 10 = 50 cm.
Most Upvoted Answer
A luminous object is placed at a distance of 30 cm from the convex len...
To find the distance at which the convex mirror should be placed in order to have an upright image of the object coincident with it, we can use the mirror formula.
**Given Data:**
- Object distance from convex lens (u) = 30 cm
- Focal length of convex lens (f) = 20 cm
- Radius of curvature of convex mirror (R) = 10 cm
**Calculations:**
1. **Finding image distance from the convex lens (v):**
Using the lens formula, 1/f = 1/v - 1/u, we can find the image distance from the convex lens.
1/20 = 1/v - 1/30
Solving for v, we get v = 60 cm
2. **Finding the object distance from the convex mirror (u'):**
Since the image formed by the convex lens acts as an object for the convex mirror, the object distance from the convex mirror would be equal to the image distance from the convex lens.
Therefore, u' = v = 60 cm
3. **Finding the image distance from the convex mirror (v'):**
Using the mirror formula, 1/f = 1/v' + 1/u', we can find the image distance from the convex mirror.
1/10 = 1/v' + 1/60
Solving for v', we get v' = 50 cm
Therefore, the convex mirror should be placed at a distance of 50 cm from the lens in order to have an upright image of the object coincident with it.
Hence, the correct answer is option **c) 50 cm**.
**Given Data:**
- Object distance from convex lens (u) = 30 cm
- Focal length of convex lens (f) = 20 cm
- Radius of curvature of convex mirror (R) = 10 cm
**Calculations:**
1. **Finding image distance from the convex lens (v):**
Using the lens formula, 1/f = 1/v - 1/u, we can find the image distance from the convex lens.
1/20 = 1/v - 1/30
Solving for v, we get v = 60 cm
2. **Finding the object distance from the convex mirror (u'):**
Since the image formed by the convex lens acts as an object for the convex mirror, the object distance from the convex mirror would be equal to the image distance from the convex lens.
Therefore, u' = v = 60 cm
3. **Finding the image distance from the convex mirror (v'):**
Using the mirror formula, 1/f = 1/v' + 1/u', we can find the image distance from the convex mirror.
1/10 = 1/v' + 1/60
Solving for v', we get v' = 50 cm
Therefore, the convex mirror should be placed at a distance of 50 cm from the lens in order to have an upright image of the object coincident with it.
Hence, the correct answer is option **c) 50 cm**.
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A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On theother side of the lens, at what distance from thelens a convex mirror of radius of curvature 10 cmbe placed in order to have an upright image of theobject coincident with it? [1998]a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On theother side of the lens, at what distance from thelens a convex mirror of radius of curvature 10 cmbe placed in order to have an upright image of theobject coincident with it? [1998]a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On theother side of the lens, at what distance from thelens a convex mirror of radius of curvature 10 cmbe placed in order to have an upright image of theobject coincident with it? [1998]a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer?.
A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On theother side of the lens, at what distance from thelens a convex mirror of radius of curvature 10 cmbe placed in order to have an upright image of theobject coincident with it? [1998]a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer? for Class 12 2025 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On theother side of the lens, at what distance from thelens a convex mirror of radius of curvature 10 cmbe placed in order to have an upright image of theobject coincident with it? [1998]a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On theother side of the lens, at what distance from thelens a convex mirror of radius of curvature 10 cmbe placed in order to have an upright image of theobject coincident with it? [1998]a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer?.
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A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On theother side of the lens, at what distance from thelens a convex mirror of radius of curvature 10 cmbe placed in order to have an upright image of theobject coincident with it? [1998]a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On theother side of the lens, at what distance from thelens a convex mirror of radius of curvature 10 cmbe placed in order to have an upright image of theobject coincident with it? [1998]a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On theother side of the lens, at what distance from thelens a convex mirror of radius of curvature 10 cmbe placed in order to have an upright image of theobject coincident with it? [1998]a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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