A concave mirror is used for rear-view on an automobile has a radius of curvature of 3.00m. If a bus is located at 5.00m from this mirror, find the position, nature and size of the image.
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Explanation:
Radius of curvature of the convex mirror R = 3 m
Focal length of the convex mirror f = R/2 = 1.5 m (positive for convex mirror)
Object (bus) distance u = − 5 m
Image distance v = ?
Mirror formula is: 1/f = 1/v + 1/u
1/1.5 = 1/v + 1/(−5)
1/v = 1/1.5 + 1/5
= (5 + 1.5)/(5 x 1.5) = 6.5/7.5
v = 7.5/6.5
= 1.15 m
Position of the image is at 1.15 m behind the mirror
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