Advertisement Remove all ads

Advertisement Remove all ads

Advertisement Remove all ads

Numerical

Use mirror equation to show that a convex mirror always produces a virtual image independent of the location of the object.

Advertisement Remove all ads

#### Solution

For convex mirror, the focal length is always positive, f = +ve

An object is placed on the left side of the mirror. So, the object distance, u = −ve or u < 0. Using the mirror formula we have,

`1/"f" = 1/"v" + 1/"u"`

`1/"v" = 1/"f" - 1/"u"`

Since f > 0 and u < 0, then from the above equations, we get that v > 0 ⇒ v < 0

Hence, a virtual image is always formed at the backside of the mirror. Therefore, the image formed by the convex mirror is always virtual in nature, independent of the location of the object.

Concept: Ray Optics - Mirror Formula

Is there an error in this question or solution?