Q7 of 223 Page 209

A diverging mirror of radius of curvature 40 cm forms an image which is half the height of the object. Find the object and image positions.

Radius of curvature , R = 40 cm

F = R/2 = 40/2 = 20 cm


Magnification, m = 1/2


v/u = 1/2


such that u = 2v


Using the mirror formula,


Object distance = 20cm


And the image distance = 10cm


behind the mirror


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5

An arrow 2.5cm high is placed at a distance of 25 cm from a diverging mirror of focal length 20 cm. Find the nature, position and size of the image formed.

 6

A convex mirror used as a rear-view mirror in a car has a radius of curvature of 3 m. If a bus is located at a distance of 5 m from this mirror, find the position of image. What is the nature of the image ?

 8

The radius of curvature of a convex mirror used as a rear view mirror in a moving car is 2.0 m. A truck is coming from behind it at a distance of 3.5 m. Calculate

(a) position, and


(b) size, of the image relative to the size of the truck. What will be the nature of the image ?

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Draw a diagram to represent a convex mirror. On this diagram mark principal axis, principal focus F and the centre of curvature C if the focal length of convex mirror is 3 cm.