+1 vote
1.0k views
in Physics by (71.7k points)
closed by
An object is held at a distance of 60 cm from a convex mirror of focal length 20 cm. At what distance from the convex mirror, should a plane mirror be held so that images in the two mirrors coincide?

1 Answer

+1 vote
by (71.8k points)
selected by
 
Best answer
For convex mirror, `u = -60 cm, f = +20 cm`.
image
From mirror formula, `(1)/(v) =(1)/(f) - (1)/(u) = (1)/(20) + (1)/(60) = (3+1)/(60) = (1)/(15)`
`v = 15 cm`. `:. PI =15 cm`.
Let the plane mirror be held at `M` so that images in the two mirrors coincide.
As `OM = MI = MP +PI = x+15`
and `OM = (1)/(2)OI = (1)/(2)(60+15) = 37.5 cm`.
`:. x + 15 = 37.5, x = 37.5 -15 = 22.5 cm`.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...