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A convex lens of focal length 15 cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image is
- a)real, at 30 cm in front of the mirror
- b)real, at 30 cm behind the mirror
- c)real, at 10 cm in front of the mirror
- d)virtual, at 10 cm behind the mirror
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A convex lens of focal length 15cm is placed on a plane mirror. An obj...
Explanation:
When a convex lens is placed on a plane mirror, the image formed by the lens is virtual, erect, and magnified. Let's analyze the given information step by step:
Step 1: Focal length of the lens:
The given convex lens has a focal length of 15 cm. This means that parallel rays of light incident on the lens will converge at a point 15 cm away from the lens on the other side.
Step 2: Object distance:
The object is placed at a distance of 30 cm from the lens. This means that the object is located on the same side as the incident rays of light.
Step 3: Image formation:
To determine the position and nature of the image formed by the convex lens, we can use the lens formula: 1/f = 1/v - 1/u, where f is the focal length of the lens, v is the image distance, and u is the object distance.
Using the lens formula, we can calculate the image distance as follows:
1/15 = 1/v - 1/30
1/v = 1/15 + 1/30
1/v = 2/30 + 1/30
1/v = 3/30
v = 30/3
v = 10 cm
Step 4: Nature of the image:
The image distance is positive, indicating that the image is formed on the opposite side of the lens from the object. Since the image distance is less than the object distance, the image is magnified. Additionally, since the image is formed on the same side as the incident rays, it is a virtual image.
Conclusion:
Based on the calculations, we can conclude that the image formed by the convex lens is real, magnified, and located at a distance of 10 cm in front of the mirror. Therefore, the correct answer is option 'C' - real, at 10 cm in front of the mirror.
When a convex lens is placed on a plane mirror, the image formed by the lens is virtual, erect, and magnified. Let's analyze the given information step by step:
Step 1: Focal length of the lens:
The given convex lens has a focal length of 15 cm. This means that parallel rays of light incident on the lens will converge at a point 15 cm away from the lens on the other side.
Step 2: Object distance:
The object is placed at a distance of 30 cm from the lens. This means that the object is located on the same side as the incident rays of light.
Step 3: Image formation:
To determine the position and nature of the image formed by the convex lens, we can use the lens formula: 1/f = 1/v - 1/u, where f is the focal length of the lens, v is the image distance, and u is the object distance.
Using the lens formula, we can calculate the image distance as follows:
1/15 = 1/v - 1/30
1/v = 1/15 + 1/30
1/v = 2/30 + 1/30
1/v = 3/30
v = 30/3
v = 10 cm
Step 4: Nature of the image:
The image distance is positive, indicating that the image is formed on the opposite side of the lens from the object. Since the image distance is less than the object distance, the image is magnified. Additionally, since the image is formed on the same side as the incident rays, it is a virtual image.
Conclusion:
Based on the calculations, we can conclude that the image formed by the convex lens is real, magnified, and located at a distance of 10 cm in front of the mirror. Therefore, the correct answer is option 'C' - real, at 10 cm in front of the mirror.
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Community Answer
A convex lens of focal length 15cm is placed on a plane mirror. An obj...
⇒ F = 15/2 cm
∴ image is real, 10 cm in front of mirror.
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Question Description
A convex lens of focal length 15cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image isa)real, at 30 cm in front of the mirrorb)real, at 30 cm behind the mirrorc)real, at 10 cm in front of the mirrord)virtual, at 10 cm behind the mirrorCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A convex lens of focal length 15cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image isa)real, at 30 cm in front of the mirrorb)real, at 30 cm behind the mirrorc)real, at 10 cm in front of the mirrord)virtual, at 10 cm behind the mirrorCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A convex lens of focal length 15cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image isa)real, at 30 cm in front of the mirrorb)real, at 30 cm behind the mirrorc)real, at 10 cm in front of the mirrord)virtual, at 10 cm behind the mirrorCorrect answer is option 'C'. Can you explain this answer?.
A convex lens of focal length 15cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image isa)real, at 30 cm in front of the mirrorb)real, at 30 cm behind the mirrorc)real, at 10 cm in front of the mirrord)virtual, at 10 cm behind the mirrorCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A convex lens of focal length 15cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image isa)real, at 30 cm in front of the mirrorb)real, at 30 cm behind the mirrorc)real, at 10 cm in front of the mirrord)virtual, at 10 cm behind the mirrorCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A convex lens of focal length 15cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image isa)real, at 30 cm in front of the mirrorb)real, at 30 cm behind the mirrorc)real, at 10 cm in front of the mirrord)virtual, at 10 cm behind the mirrorCorrect answer is option 'C'. Can you explain this answer?.
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A convex lens of focal length 15cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image isa)real, at 30 cm in front of the mirrorb)real, at 30 cm behind the mirrorc)real, at 10 cm in front of the mirrord)virtual, at 10 cm behind the mirrorCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A convex lens of focal length 15cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image isa)real, at 30 cm in front of the mirrorb)real, at 30 cm behind the mirrorc)real, at 10 cm in front of the mirrord)virtual, at 10 cm behind the mirrorCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A convex lens of focal length 15cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image isa)real, at 30 cm in front of the mirrorb)real, at 30 cm behind the mirrorc)real, at 10 cm in front of the mirrord)virtual, at 10 cm behind the mirrorCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A convex lens of focal length 15cm is placed on a plane mirror. An object is placed at 30 cm from the lens. The image isa)real, at 30 cm in front of the mirrorb)real, at 30 cm behind the mirrorc)real, at 10 cm in front of the mirrord)virtual, at 10 cm behind the mirrorCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice NEET tests.
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