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An object is placed 10cm from a concave mirror of radius of curvature 15cm calculate the image position and magnification?
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Calculation of Image Position and Magnification for a Concave Mirror
Given Data:
- Object distance (u) = -10 cm (negative sign indicates object is placed in front of mirror)
- Radius of curvature (R) = -15 cm (negative sign indicates concave mirror)
- Focal length (f) = -7.5 cm (half of radius of curvature)
Image Position Calculation:
- Using mirror formula: 1/f = 1/v + 1/u
- Substituting values: 1/-7.5 = 1/v + 1/-10
- Solving for v, we get v = -30 cm
- The negative sign indicates the image is formed on the same side as the object (virtual image)
Magnification Calculation:
- Magnification (m) = -v/u
- Substituting values: m = -(-30)/-10 = 3
- The positive magnification indicates the image is upright and enlarged
Explanation:
- The concave mirror forms a virtual image at 30 cm from the mirror on the same side as the object.
- The image is magnified by a factor of 3, meaning it is three times larger than the object.
- The negative sign for image distance and magnification indicates the virtual nature of the image formed by the concave mirror.
Given Data:
- Object distance (u) = -10 cm (negative sign indicates object is placed in front of mirror)
- Radius of curvature (R) = -15 cm (negative sign indicates concave mirror)
- Focal length (f) = -7.5 cm (half of radius of curvature)
Image Position Calculation:
- Using mirror formula: 1/f = 1/v + 1/u
- Substituting values: 1/-7.5 = 1/v + 1/-10
- Solving for v, we get v = -30 cm
- The negative sign indicates the image is formed on the same side as the object (virtual image)
Magnification Calculation:
- Magnification (m) = -v/u
- Substituting values: m = -(-30)/-10 = 3
- The positive magnification indicates the image is upright and enlarged
Explanation:
- The concave mirror forms a virtual image at 30 cm from the mirror on the same side as the object.
- The image is magnified by a factor of 3, meaning it is three times larger than the object.
- The negative sign for image distance and magnification indicates the virtual nature of the image formed by the concave mirror.
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An object is placed 10cm from a concave mirror of radius of curvature 15cm calculate the image position and magnification?
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An object is placed 10cm from a concave mirror of radius of curvature 15cm calculate the image position and magnification? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An object is placed 10cm from a concave mirror of radius of curvature 15cm calculate the image position and magnification? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is placed 10cm from a concave mirror of radius of curvature 15cm calculate the image position and magnification?.
An object is placed 10cm from a concave mirror of radius of curvature 15cm calculate the image position and magnification? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about An object is placed 10cm from a concave mirror of radius of curvature 15cm calculate the image position and magnification? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An object is placed 10cm from a concave mirror of radius of curvature 15cm calculate the image position and magnification?.
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