Question

A convex spherical mirror with a radius of curvature of 50 cm generates a virtual image 16.67 cm behind the mirror. Where is the object located?

0.3 m from the mirror

0.2 m from the mirror

0.5 m from the mirror

- 0.5 m from the mirror

none of the above

Answer 1

Given that Radius of curvatire of convex mirror = 50 cm

f = focal length of convex mirror = -50/2 = -25 cm

given that mirror forms a virtual image at 16.67 cm behind the mirror, So

v = image distance = -16.67 cm (-ve sign since image is behind the mirror)

Now Using mirror equation:

1/f = 1/u + 1/v

u = object distance = v*f/(v - f)

u = (-16.67)*(-25)/((-16.67) - (-25))

u = 50.0 cm = 0.5 m

Object distance = 0.5 m from the mirror

Correct option is C.

Let me know if you've any query.