Question

A convex mirror has a radius of curvature of 0.60 m. Where must an object be placed in front of the mirror such that the image is formed 0.25 m behind the mirror?

Answer 1

1.5 cm

Step-by-step explanation:

radius of curvature, R = + 0.60 m

focal length = half of radius of curvature = 0.60 / 2 = + 0.30 m

distance of image from the mirror, v = + 0.25 m

Let the distance of object from the mirror is u.

Use the mirror formula

`(1)/(f)=(1)/(v)+(1)/(u)`

`(1)/(0.3)=(1)/(0.25)+(1)/(u)`

`(1)/(0.3)-(1)/(0.25)=(1)/(u)`

`(0.25-0.3)/(0.3* 0.25)=(1)/(u)`

`(-0.05)/(0.075)=(1)/(u)`

u = - 1.5 cm

Thus,t the object is placed on the left side of mirror at a distance 1.5 cm .