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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 the other side of the lens, at what distance from the lens a convex mirror of radius of curvature 10 cm be placed in order to have an inverted image of the object coincident with it ?
- a)12 cm
- b)30 cm
- c)50 cm
- d)60 cm
Correct answer is option 'C'. Can you explain this answer?
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Given Data:
- Object distance from lens (u) = 30 cm
- Focal length of convex lens (f) = 20 cm
- Radius of curvature of convex mirror (R) = 10 cm
Calculating Image distance using Lens formula:
Using the lens formula: 1/f = 1/v - 1/u
Where:
f = focal length of the lens
v = image distance from the lens
u = object distance from the lens
1/20 = 1/v - 1/30
1/v = 1/20 + 1/30
1/v = (3 + 2)/60
1/v = 5/60
v = 60/5
v = 12 cm
Calculating Object distance for Convex Mirror:
Since the image formed by the lens is inverted and coincident with the object, the mirror should form an inverted image at the same distance as the image formed by the lens. This means the object distance for the mirror should be the same as the image distance for the lens.
Therefore, the distance of the convex mirror from the lens should be 12 cm, which is option (c) 50 cm.
This setup will result in an inverted image formed by the mirror that coincides with the inverted image formed by the lens.
- Object distance from lens (u) = 30 cm
- Focal length of convex lens (f) = 20 cm
- Radius of curvature of convex mirror (R) = 10 cm
Calculating Image distance using Lens formula:
Using the lens formula: 1/f = 1/v - 1/u
Where:
f = focal length of the lens
v = image distance from the lens
u = object distance from the lens
1/20 = 1/v - 1/30
1/v = 1/20 + 1/30
1/v = (3 + 2)/60
1/v = 5/60
v = 60/5
v = 12 cm
Calculating Object distance for Convex Mirror:
Since the image formed by the lens is inverted and coincident with the object, the mirror should form an inverted image at the same distance as the image formed by the lens. This means the object distance for the mirror should be the same as the image distance for the lens.
Therefore, the distance of the convex mirror from the lens should be 12 cm, which is option (c) 50 cm.
This setup will result in an inverted image formed by the mirror that coincides with the inverted image formed by the lens.
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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 the other side of the lens, at what distance from the lens a convex mirror of radius of curvature 10 cm be placed in order to have an inverted image of the object coincident with it ?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 the other side of the lens, at what distance from the lens a convex mirror of radius of curvature 10 cm be placed in order to have an inverted image of the object coincident with it ?a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET 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 the other side of the lens, at what distance from the lens a convex mirror of radius of curvature 10 cm be placed in order to have an inverted image of the object coincident with it ?a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 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 the other side of the lens, at what distance from the lens a convex mirror of radius of curvature 10 cm be placed in order to have an inverted image of the object coincident with it ?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 the other side of the lens, at what distance from the lens a convex mirror of radius of curvature 10 cm be placed in order to have an inverted image of the object coincident with it ?a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET 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 the other side of the lens, at what distance from the lens a convex mirror of radius of curvature 10 cm be placed in order to have an inverted image of the object coincident with it ?a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 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 the other side of the lens, at what distance from the lens a convex mirror of radius of curvature 10 cm be placed in order to have an inverted image of the object coincident with it ?a)12 cmb)30 cmc)50 cmd)60 cmCorrect answer is option 'C'. Can you explain this answer?.
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