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The magnification of an object placed 10 cm from a convex mirror of radius of curvature 20 cm
will be
- a)0.2
- b)0.5
- c)1
- d)infinity
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The magnification of an object placed 10 cm from a convex mirror of ra...
0.5 is the magnification
it came because....
u= -10cm
f=10 cm
v=5cm {1/f=1/v+1/u}
magnification=-v/u
m=5/10
magnification=0.5
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The magnification of an object placed 10 cm from a convex mirror of ra...
Magnification of an object placed 10 cm from a convex mirror of radius of curvature 20 cm can be calculated using the formula:
m = -v/u
where m is the magnification, u is the object distance, and v is the image distance.
Given that the object distance, u = -10 cm (since the object is placed in front of the mirror) and the radius of curvature, R = 20 cm.
Using the mirror formula:
1/f = 1/u + 1/v
where f is the focal length of the mirror.
Substituting the values, we get:
1/f = 1/-10 + 1/v
1/f = (v-10)/(-10v)
-10v/f = v-10
v = -10f/(f-10)
Substituting the value of v in the magnification formula, we get:
m = -v/u
m = -(-10f/(f-10))/(-10)
m = f/(f-10)
To find the magnification, we need to find the focal length of the mirror.
Using the mirror formula:
1/f = 1/R - 1/2R
1/f = 3/2R
f = 2R/3
f = 40/3 cm
Substituting the value of f in the magnification formula, we get:
m = f/(f-10)
m = (40/3)/((40/3)-10)
m = 0.5
Therefore, the magnification of the object placed 10 cm from a convex mirror of radius of curvature 20 cm is 0.5.
m = -v/u
where m is the magnification, u is the object distance, and v is the image distance.
Given that the object distance, u = -10 cm (since the object is placed in front of the mirror) and the radius of curvature, R = 20 cm.
Using the mirror formula:
1/f = 1/u + 1/v
where f is the focal length of the mirror.
Substituting the values, we get:
1/f = 1/-10 + 1/v
1/f = (v-10)/(-10v)
-10v/f = v-10
v = -10f/(f-10)
Substituting the value of v in the magnification formula, we get:
m = -v/u
m = -(-10f/(f-10))/(-10)
m = f/(f-10)
To find the magnification, we need to find the focal length of the mirror.
Using the mirror formula:
1/f = 1/R - 1/2R
1/f = 3/2R
f = 2R/3
f = 40/3 cm
Substituting the value of f in the magnification formula, we get:
m = f/(f-10)
m = (40/3)/((40/3)-10)
m = 0.5
Therefore, the magnification of the object placed 10 cm from a convex mirror of radius of curvature 20 cm is 0.5.
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The magnification of an object placed 10 cm from a convex mirror of radius of curvature 20 cmwill bea)0.2b)0.5c)1d)infinityCorrect answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The magnification of an object placed 10 cm from a convex mirror of radius of curvature 20 cmwill bea)0.2b)0.5c)1d)infinityCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The magnification of an object placed 10 cm from a convex mirror of radius of curvature 20 cmwill bea)0.2b)0.5c)1d)infinityCorrect answer is option 'B'. Can you explain this answer?.
The magnification of an object placed 10 cm from a convex mirror of radius of curvature 20 cmwill bea)0.2b)0.5c)1d)infinityCorrect answer is option 'B'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The magnification of an object placed 10 cm from a convex mirror of radius of curvature 20 cmwill bea)0.2b)0.5c)1d)infinityCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The magnification of an object placed 10 cm from a convex mirror of radius of curvature 20 cmwill bea)0.2b)0.5c)1d)infinityCorrect answer is option 'B'. Can you explain this answer?.
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