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An object is placed 10cm in front of a concave mirror of radius of curvature 15cm . find the position nature and magnification of the image?
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An object is placed 10cm in front of a concave mirror of radius of cur...
Calculation of Image Position, Nature, and Magnification Using Concave Mirror
Given:
- Object distance (u) = -10 cm
- Radius of curvature (R) = -15 cm (negative because it is a concave mirror)
Finding the Focal Length of the Mirror
The focal length (f) of a concave mirror is given by the formula:
f = R/2
Substituting the given values:
f = -15/2 = -7.5 cm
Finding the Image Distance
The mirror formula is given by:
1/v + 1/u = 1/f
Substituting the given values:
1/v + 1/-10 = 1/-7.5
Solving for v:
v = -30 cm
Finding the Nature of the Image
The nature of the image can be determined using the sign convention:
- Positive image distance (v) indicates a real image
- Negative image distance (v) indicates a virtual image
Since v is negative, the image is virtual.
Finding the Magnification of the Image
The magnification (m) of the image is given by the formula:
m = -v/u
Substituting the given values:
m = -(-30)/(-10) = 3
Therefore, the image is virtual, located 30 cm behind the mirror, and is three times larger than the object.
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An object is placed 10cm in front of a concave mirror of radius of curvature 15cm . find the position nature and magnification of the image?
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An object is placed 10cm in front of a concave mirror of radius of curvature 15cm . find the position nature and magnification of the image? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about An object is placed 10cm in front of a concave mirror of radius of curvature 15cm . find the position nature and magnification of the image? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is placed 10cm in front of a concave mirror of radius of curvature 15cm . find the position nature and magnification of the image?.
An object is placed 10cm in front of a concave mirror of radius of curvature 15cm . find the position nature and magnification of the image? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about An object is placed 10cm in front of a concave mirror of radius of curvature 15cm . find the position nature and magnification of the image? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is placed 10cm in front of a concave mirror of radius of curvature 15cm . find the position nature and magnification of the image?.
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