Question

A convex mirror has a radius of curvature of 22 cm. If an object is placed 14 cm away from the
mirror then its image is formed at-
(1) 6.2 cm on the front side of the mirror
(2) 6.2 cm on the back side of the mirror.
(3) 51.3 cm on the front of the mirror.
(4) 51.3 cm on the back side of the mirror

Answer 1

Answer:

6.2 cm on the front side of the mirror

Explanation:

It is given that,

Radius of curvature of a convex mirror, R = 22 cm

Focal length of the convex mirror is, f = + R/2 = +11 cm

Object distance, u = -14 cm

Using mirror's formula :

$\dfrac{1}{f}=\dfrac{1}{v}+\dfrac{1}{u}$

v is the image distance

$\dfrac{1}{v}=\dfrac{1}{f}-\dfrac{1}{u}$

$\dfrac{1}{v}=\dfrac{1}{11}-\dfrac{1}{-14}$

v = 6.16 cm or 6.2 cm

So, the image is formed 6.2 cm on the front side of the convex mirror. Hence, the correct option is (a).

Answer 2

Answer:

(2) 6.2cm on the back side of the mirror