A convex mirror used for rear view on an automobile has a radius of curvature of of 3 m. If a bus is located at 5 metre from this mirror, find the position nature and size of the image.
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Answer:
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Explanation:
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Given, radius of curvature, R = 3m
Given, radius of curvature, R = 3m Object distance, u = - 5 m
Given, radius of curvature, R = 3m Object distance, u = - 5 m Image distance, v = ?
Given, radius of curvature, R = 3m Object distance, u = - 5 m Image distance, v = ? Height of the image, hi, = ?
R We know that, focal length, f 2 + 3 m=+1.50 m 1.1 1 1 =or - =- vufv fu 1 1 Since, + 1.50 (- 5.00) 1 1 5+1.50 1.50 5 + 7.50 7.50 v = = + 1.15m 6.50 Thus, the image formed is 1.15 m at the back of the mirror. Magnification, v_ - 1.15 m u - 5 m So, the image is virtual, erect and smaller in size by a m = + 0.23 ho factor of 0.23. 2]