Question

46. A convex mirror and a plane mirror are arranged fac-
object as shown in the figure below. If there
is no parallax between the images formed by the two
mirrors, then find the radius of curvature of the con-
vex mirror?​

Answer 1

Answer:

ANSWER

As shown in figure, the plane mirror will form erect and virtual image of same size at a distance of 30 cm behind it. So, the distance of image formed by plane mirror from convex mirror will be

PI=MI−MP

But as, MI=MO

PI=MO−MP=30−20=10 cm

Now, as this image coincides with the image formed by convex mirror, therefore for convex mirror,

u=−50 cm;v=+10 cm

So,

+10

1

+

−50

1

=

f

1

, i.e., f=

4

50

=12.5 cm

So, R=2f=2×12.5=25 cm.

solution

Answer 2

Explanation:

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