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Magnification of an image is 1/4 which formed at 5cm behind mirror. Find the type of and its focal length. corresponding ray diagram.?
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Magnification of an image is 1/4 which formed at 5cm behind mirror. Fi...
Given Data:
- Magnification (m) = 1/4
- Object distance (u) = -5 cm (behind the mirror)
Finding the Type of Mirror:
- Magnification (m) = -v/u (where v is the image distance)
- Given m = 1/4, u = -5 cm
- Therefore, 1/4 = -v/(-5)
- v = -5/4 = -1.25 cm
Since the image distance is negative, the image is formed on the same side as the object, which indicates that the mirror is a concave mirror.
Finding the Focal Length:
- Magnification (m) = -f/u (where f is the focal length)
- Given m = 1/4, u = -5 cm
- Therefore, 1/4 = -f/(-5)
- f = -5/4 = -1.25 cm
The focal length of the concave mirror is -1.25 cm.
Corresponding Ray Diagram:
- Draw a concave mirror with its principal axis and center of curvature.
- Place the object 5 cm in front of the mirror (since u = -5 cm).
- Draw a ray parallel to the principal axis that passes through the focal point after reflection.
- Draw a ray that passes through the focal point before reflection and becomes parallel to the principal axis after reflection.
- The intersection point of these two reflected rays gives the position of the image, which is 1.25 cm behind the mirror.
This ray diagram visually represents how the image is formed by the concave mirror with a magnification of 1/4.
- Magnification (m) = 1/4
- Object distance (u) = -5 cm (behind the mirror)
Finding the Type of Mirror:
- Magnification (m) = -v/u (where v is the image distance)
- Given m = 1/4, u = -5 cm
- Therefore, 1/4 = -v/(-5)
- v = -5/4 = -1.25 cm
Since the image distance is negative, the image is formed on the same side as the object, which indicates that the mirror is a concave mirror.
Finding the Focal Length:
- Magnification (m) = -f/u (where f is the focal length)
- Given m = 1/4, u = -5 cm
- Therefore, 1/4 = -f/(-5)
- f = -5/4 = -1.25 cm
The focal length of the concave mirror is -1.25 cm.
Corresponding Ray Diagram:
- Draw a concave mirror with its principal axis and center of curvature.
- Place the object 5 cm in front of the mirror (since u = -5 cm).
- Draw a ray parallel to the principal axis that passes through the focal point after reflection.
- Draw a ray that passes through the focal point before reflection and becomes parallel to the principal axis after reflection.
- The intersection point of these two reflected rays gives the position of the image, which is 1.25 cm behind the mirror.
This ray diagram visually represents how the image is formed by the concave mirror with a magnification of 1/4.
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Magnification of an image is 1/4 which formed at 5cm behind mirror. Find the type of and its focal length. corresponding ray diagram.?
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Magnification of an image is 1/4 which formed at 5cm behind mirror. Find the type of and its focal length. corresponding ray diagram.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Magnification of an image is 1/4 which formed at 5cm behind mirror. Find the type of and its focal length. corresponding ray diagram.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Magnification of an image is 1/4 which formed at 5cm behind mirror. Find the type of and its focal length. corresponding ray diagram.?.
Magnification of an image is 1/4 which formed at 5cm behind mirror. Find the type of and its focal length. corresponding ray diagram.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Magnification of an image is 1/4 which formed at 5cm behind mirror. Find the type of and its focal length. corresponding ray diagram.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Magnification of an image is 1/4 which formed at 5cm behind mirror. Find the type of and its focal length. corresponding ray diagram.?.
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