question_answer

  Two mirrors, one concave and the other convex, are placed 60 cm apart with their reflecting surfaces facing each other. An object is placed 30 cm from the pole of either of them on their axis. If the focal lengths of both the mirrors are 15 cm, the position of the image formed by reflection, first at the convex and then at the Concave mirror, is:

A) \[19.09\]cm from the pole of the concave mirror

B) \[19.09\]cm from the pole of the convex mirror

C) \[11.09\]cm from the pole of the concave mirror

D) \[11.09\] cm from the pole of the convex mirror

Correct Answer: A

Solution :

[a]

For convex mirror:

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

Or \[v=10m\]

For concave mirror:

\[\frac{1}{v}+\frac{1}{-70}=\frac{1}{-15}\]

Or \[v=-19.09\operatorname{m}\]