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A convex lens of focal length 24 cms is placed 12 cms in front of a convex mirror. It is found that when a pin is placed 36 cms in front of the lens, it coincides with
its own inverted image formed by the lens and the mirror.Then the focal length of the mirror is
its own inverted image formed by the lens and the mirror.Then the focal length of the mirror is
- a)15 cms
- b)30 cm
- c)45 cm
- d)60 cm
Correct answer is option 'B'. Can you explain this answer?
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A convex lens of focal length 24 cms is placed 12 cms in front of a co...
A convex lens of focal length 24 cm is placed 12 cm in front of a convex mirror. It is found that when a pin is placed 36 cm in front of the lens, it coincides with its own inverted image formed by the lens and the mirror. Then the focal length of the mirror is 30 cm.
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A convex lens of focal length 24 cms is placed 12 cms in front of a co...
Given data:
Focal length of convex lens, f = 24 cm
Distance of lens from convex mirror, u = 12 cm
Distance of pin from lens, x = 36 cm
Using lens formula:
1/f = 1/v - 1/u
where v is the image distance
Image by lens:
1/f = 1/v - 1/u
1/24 = 1/v - 1/12
1/v = 1/24 + 1/12
1/v = (1 + 2)/24
1/v = 3/24
v = 24/3
v = 8 cm
Distance of lens from mirror:
Total distance = u + v
= 12 + 8
= 20 cm
Using mirror formula:
1/f_mirror = 1/u_mirror + 1/v_mirror
where u_mirror is the object distance from mirror and v_mirror is the image distance from mirror
Given that the image coincides with the object:
u_mirror = v_mirror = 20 cm
Substitute the values in mirror formula:
1/f_mirror = 1/20 + 1/20
1/f_mirror = 2/20
f_mirror = 20/2
f_mirror = 10 cm
Therefore, the focal length of the convex mirror is 10 cm, which corresponds to option B.
Focal length of convex lens, f = 24 cm
Distance of lens from convex mirror, u = 12 cm
Distance of pin from lens, x = 36 cm
Using lens formula:
1/f = 1/v - 1/u
where v is the image distance
Image by lens:
1/f = 1/v - 1/u
1/24 = 1/v - 1/12
1/v = 1/24 + 1/12
1/v = (1 + 2)/24
1/v = 3/24
v = 24/3
v = 8 cm
Distance of lens from mirror:
Total distance = u + v
= 12 + 8
= 20 cm
Using mirror formula:
1/f_mirror = 1/u_mirror + 1/v_mirror
where u_mirror is the object distance from mirror and v_mirror is the image distance from mirror
Given that the image coincides with the object:
u_mirror = v_mirror = 20 cm
Substitute the values in mirror formula:
1/f_mirror = 1/20 + 1/20
1/f_mirror = 2/20
f_mirror = 20/2
f_mirror = 10 cm
Therefore, the focal length of the convex mirror is 10 cm, which corresponds to option B.
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A convex lens of focal length 24 cms is placed 12 cms in front of a convex mirror. It is found that when a pin is placed 36 cms in front of the lens, it coincides withits own inverted image formed by the lens and the mirror.Then the focal length of the mirror isa)15 cmsb)30 cmc)45 cmd)60 cmCorrect answer is option 'B'. Can you explain this answer?
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A convex lens of focal length 24 cms is placed 12 cms in front of a convex mirror. It is found that when a pin is placed 36 cms in front of the lens, it coincides withits own inverted image formed by the lens and the mirror.Then the focal length of the mirror isa)15 cmsb)30 cmc)45 cmd)60 cmCorrect answer is option 'B'. 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 convex lens of focal length 24 cms is placed 12 cms in front of a convex mirror. It is found that when a pin is placed 36 cms in front of the lens, it coincides withits own inverted image formed by the lens and the mirror.Then the focal length of the mirror isa)15 cmsb)30 cmc)45 cmd)60 cmCorrect answer is option 'B'. 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 convex lens of focal length 24 cms is placed 12 cms in front of a convex mirror. It is found that when a pin is placed 36 cms in front of the lens, it coincides withits own inverted image formed by the lens and the mirror.Then the focal length of the mirror isa)15 cmsb)30 cmc)45 cmd)60 cmCorrect answer is option 'B'. Can you explain this answer?.
A convex lens of focal length 24 cms is placed 12 cms in front of a convex mirror. It is found that when a pin is placed 36 cms in front of the lens, it coincides withits own inverted image formed by the lens and the mirror.Then the focal length of the mirror isa)15 cmsb)30 cmc)45 cmd)60 cmCorrect answer is option 'B'. 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 convex lens of focal length 24 cms is placed 12 cms in front of a convex mirror. It is found that when a pin is placed 36 cms in front of the lens, it coincides withits own inverted image formed by the lens and the mirror.Then the focal length of the mirror isa)15 cmsb)30 cmc)45 cmd)60 cmCorrect answer is option 'B'. 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 convex lens of focal length 24 cms is placed 12 cms in front of a convex mirror. It is found that when a pin is placed 36 cms in front of the lens, it coincides withits own inverted image formed by the lens and the mirror.Then the focal length of the mirror isa)15 cmsb)30 cmc)45 cmd)60 cmCorrect answer is option 'B'. Can you explain this answer?.
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A convex lens of focal length 24 cms is placed 12 cms in front of a convex mirror. It is found that when a pin is placed 36 cms in front of the lens, it coincides withits own inverted image formed by the lens and the mirror.Then the focal length of the mirror isa)15 cmsb)30 cmc)45 cmd)60 cmCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A convex lens of focal length 24 cms is placed 12 cms in front of a convex mirror. It is found that when a pin is placed 36 cms in front of the lens, it coincides withits own inverted image formed by the lens and the mirror.Then the focal length of the mirror isa)15 cmsb)30 cmc)45 cmd)60 cmCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A convex lens of focal length 24 cms is placed 12 cms in front of a convex mirror. It is found that when a pin is placed 36 cms in front of the lens, it coincides withits own inverted image formed by the lens and the mirror.Then the focal length of the mirror isa)15 cmsb)30 cmc)45 cmd)60 cmCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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