question_answer

An object is placed at a distance of 30 cm in front of a convex mirror of focal length 15 cm. Write four characteristics of the image formed by the mirror.

Answer:

Given: \[u=-30\,cm,\,f=15\,cm\]

We know that, \[\frac{1}{v}+\frac{1}{u}=\frac{1}{f}\]

\[\frac{1}{v}=\frac{1}{15}+\frac{1}{30}=\frac{2+1}{30}=\frac{3}{30}\]

\[v=\,10\,cm\]

Characteristics of image:

(i) Image formed is erect.

(ii) Image formed is small in size.

(iii) Image formed is virtual.

(iv) Image is formed at a distance of 10 cm behind the mirror between focus and pole.