Question

A concave mirror produces three times enlarged virtual image of an object placed at 10 cm in front of it . calculate the radius of curvature of mirror

Answer 1

radius of curvature of mirror is=-30cm

Answer 2

Given that,
magnification is 3 times enlarged and virtual image.
So m=+3(because +represents virtual image and 3 tells us that the height of image is 3 times that of object.
Since, m=-(v/u)
3 = -(v/-10cm)
v=30cm
By mirror formula,
1/f = 1/v +1/u
= 1/30 + 1/-10
=-2/30
f=-15cm
Since R=2f=2×(-15cm)=-30cm
Ans: The Radius of curvature measures -30cm