Calculate the value of the image distance.
 
A highly polished surface such as a mirror reflects most of the light falling on it. In our daily life we use two types mirrors - plane and spherical. The reflecting surface of a spherical mirrors may be curved inwards and outwards. In concave mirrors, reflection takes place from the inner surface, while in convex mirrors reflection takes place from the outer surface.

(a) Define the principal axis of a concave mirror.

(b) A ray of light is incident on a concave mirror, parallel to its principal axis. If this ray after reflection from the mirror passes through the principal axis from a point at a distance of \(30\ cm\) from the pole of the mirror, find the radius of curvature of the mirror.

(c). An object is placed at a distance of \(10\ cm\) from the pole of a convex mirror of focal length \(120\ cm\). Find the position of the image.

(d). A mirror forms a virtual, erect and dimished image of an object. Identify the type of this mirror. Draw a ray diagram to show the image formation in this case.
 
a. The straight line passing through the of the spherical mirror is called the principal axis of a concave mirror.
 
b. The radius of curvature of the mirror is \(cm\)
 
c.  The image is formed  \(cm\) behind the mirror and it is a image.
 
d. Virtual, erect, and diminished images are always formed with mirrors, irrespective of the distance between the object and the mirror.
 
[Note: Enter the answer upto two decimal places.]