Free help with homework

Why join Brainly?

  • ask questions about your assignment
  • get answers with explanations
  • find similar questions

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

It is convex mirror, not lens.



This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
For a convex  mirror, focal length(f) is always positive  and object distance (u) is always negative according to the convention.
We have to show that the image formed is virtual. A virtual image means image is formed behind the mirror or image distance(v) is always positive.

Mirror formula is given as
 \frac{1}{v} + \frac{1}{u} = \frac{1}{f}

Thus we can write
 \frac{1}{v}= \frac{1}{f}- \frac{1}{u}

here,  \frac{1}{f} is positive(since f is positive) and  -\frac{1}{u} is also positive(as u is negative). Since  \frac{1}{v} is sum of two positive quantities,  \frac{1}{v} always positive. So v, the image distance is always positive or the image is always virtual.
2 4 2
The Brain
  • The Brain
  • Helper
Not sure about the answer?
Learn more with Brainly!
Having trouble with your homework?
Get free help!
  • 80% of questions are answered in under 10 minutes
  • Answers come with explanations, so that you can learn
  • Answer quality is ensured by our experts