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1. A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror. (i) Write the type of the mirror. (ii) Find the distance
of the image for the object. (iv) Draw the ray diagram to show the image formation in this case.
(iii) What is the focal length of the mirror?
i. Concave mirror?
of the image for the object. (iv) Draw the ray diagram to show the image formation in this case.
(iii) What is the focal length of the mirror?
i. Concave mirror?
Most Upvoted Answer
1. A spherical mirror produces an image of magnification -1 on a scree...
Concave Mirror and Image Formation
Concave mirrors are mirrors that curve inward and can either produce real or virtual images depending on the position of the object relative to the mirror. When an object is placed beyond the focal point of a concave mirror, it produces a real inverted image. On the other hand, when the object is placed between the focal point and the mirror, it produces a virtual erect image.
Given Information
- Magnification (m) = -1
- Distance of the screen from the mirror (d) = 50 cm
Finding the Distance of the Image
The magnification is given as -1, which indicates that the image is of the same size as the object but inverted. Using the formula for magnification (m = -v/u), where v is the image distance and u is the object distance, we can find the distance of the image for the object.
m = -1 = -v/u
-1 = -v/(-u)
v = u
Therefore, the distance of the image is equal to the distance of the object, which is 50 cm.
Ray Diagram
To draw the ray diagram, we first draw the principal axis and mark the focal point (F) and the center of curvature (C) on the concave mirror. Then, we draw the incident ray parallel to the principal axis, which will pass through the focal point after reflection, and the ray passing through the focal point, which will be reflected parallel to the principal axis. The intersection of these two rays will give the inverted image of the object at a distance of 50 cm from the mirror.
Focal Length
The focal length of a concave mirror is negative, as it is a converging mirror. It is equal to half of the radius of curvature of the mirror. In this case, since the image distance is equal to the object distance, the focal length can be calculated using the formula for the mirror equation (1/f = 1/v + 1/u).
Therefore, the focal length of the concave mirror in this case is -25 cm.
Concave mirrors are mirrors that curve inward and can either produce real or virtual images depending on the position of the object relative to the mirror. When an object is placed beyond the focal point of a concave mirror, it produces a real inverted image. On the other hand, when the object is placed between the focal point and the mirror, it produces a virtual erect image.
Given Information
- Magnification (m) = -1
- Distance of the screen from the mirror (d) = 50 cm
Finding the Distance of the Image
The magnification is given as -1, which indicates that the image is of the same size as the object but inverted. Using the formula for magnification (m = -v/u), where v is the image distance and u is the object distance, we can find the distance of the image for the object.
m = -1 = -v/u
-1 = -v/(-u)
v = u
Therefore, the distance of the image is equal to the distance of the object, which is 50 cm.
Ray Diagram
To draw the ray diagram, we first draw the principal axis and mark the focal point (F) and the center of curvature (C) on the concave mirror. Then, we draw the incident ray parallel to the principal axis, which will pass through the focal point after reflection, and the ray passing through the focal point, which will be reflected parallel to the principal axis. The intersection of these two rays will give the inverted image of the object at a distance of 50 cm from the mirror.
Focal Length
The focal length of a concave mirror is negative, as it is a converging mirror. It is equal to half of the radius of curvature of the mirror. In this case, since the image distance is equal to the object distance, the focal length can be calculated using the formula for the mirror equation (1/f = 1/v + 1/u).
Therefore, the focal length of the concave mirror in this case is -25 cm.
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1. A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror. (i) Write the type of the mirror. (ii) Find the distanceof the image for the object. (iv) Draw the ray diagram to show the image formation in this case.(iii) What is the focal length of the mirror?i. Concave mirror?
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1. A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror. (i) Write the type of the mirror. (ii) Find the distanceof the image for the object. (iv) Draw the ray diagram to show the image formation in this case.(iii) What is the focal length of the mirror?i. Concave mirror? 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 1. A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror. (i) Write the type of the mirror. (ii) Find the distanceof the image for the object. (iv) Draw the ray diagram to show the image formation in this case.(iii) What is the focal length of the mirror?i. Concave mirror? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1. A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror. (i) Write the type of the mirror. (ii) Find the distanceof the image for the object. (iv) Draw the ray diagram to show the image formation in this case.(iii) What is the focal length of the mirror?i. Concave mirror?.
1. A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror. (i) Write the type of the mirror. (ii) Find the distanceof the image for the object. (iv) Draw the ray diagram to show the image formation in this case.(iii) What is the focal length of the mirror?i. Concave mirror? 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 1. A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror. (i) Write the type of the mirror. (ii) Find the distanceof the image for the object. (iv) Draw the ray diagram to show the image formation in this case.(iii) What is the focal length of the mirror?i. Concave mirror? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 1. A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror. (i) Write the type of the mirror. (ii) Find the distanceof the image for the object. (iv) Draw the ray diagram to show the image formation in this case.(iii) What is the focal length of the mirror?i. Concave mirror?.
Solutions for 1. A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror. (i) Write the type of the mirror. (ii) Find the distanceof the image for the object. (iv) Draw the ray diagram to show the image formation in this case.(iii) What is the focal length of the mirror?i. Concave mirror? in English & in Hindi are available as part of our courses for Class 10.
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ample number of questions to practice 1. A spherical mirror produces an image of magnification -1 on a screen placed at a distance of 50 cm from the mirror. (i) Write the type of the mirror. (ii) Find the distanceof the image for the object. (iv) Draw the ray diagram to show the image formation in this case.(iii) What is the focal length of the mirror?i. Concave mirror? tests, examples and also practice Class 10 tests.
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