Question

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an object is placed 18 cm from a mirror if the image is formed at 4 cm to the right of the mirror. calculate its focal length. is the mirror convex or concave?. what is the nature of the image.? what is radius of curvature

Answer 1

Here we are given that image is formed at the right side of the mirror.

This means that the mirror is convex mirror.

The nature of image will be virtual and erect and smaller than the object.

Here u is=-18cm

v=4cm

f=?

Using mirror formula

1/v+1/u=1/f

1/4+1/-18=1/f

1/4-1/18=1/f

(9-2)/36=1/f

7/36=1/f

f=36/7=5.14 cm

We know radius of curvature=2 focal length

R=2f

R=2*5.14=10.28cm

Hope it works