| (a) If the image formed by a mirror for all positions of the object placed in front of it is always diminished, erect and virtual, state the type of the mirror and also draw a ray diagram to justify your answer. Write one use such mirrors are put to and why. |
| (b) Define the radius of curvature of spherical mirrors. Find the nature and focal length of a spherical mirror whose radius of curvature is +24 cm. |
Answer:
(a) The type of the mirror is convex mirror. The ray diagram is shown below:
Use of convex mirror: Convex mirror is used as rear view mirror in vehicles as it always produces virtual, erect and diminished image of an object. So, images of vehicles that are spreaded over a large area can be seen easily in it.
(b) Radius of curvature: The distance between the centre of curvature and pole of a spherical mirror is known as radius of curvature.
Given: R = + 24 cm
\[f=\frac{R}{2}=\frac{24}{2}=+12cm\]
The mirror is convex mirror.
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