A point object moves towards a convex mirror with a constant speed.Prove that the speed of the image increases as the object comes closer to the mirror.

No vote yet

1 vote

×

Problem Loading...

Note Loading...

Set Loading...

## Comments

Sort by:

TopNewestAccording to mirror formula

\[\begin{align}\frac{1}{v}+\frac{1}{u}&=\frac{1}{f}\\\left(\frac{-1}{{v}^2}\right){v}_{i}+\left(\frac{-1}{{u}^2}\right){v}_{o}&=0\\{v}_{i}&=-{\left(\frac{v}{u}\right)}^2{v}_{o}\\\huge\color{blue}{\boxed{{v}_{i}=-{m}^2{v}_{o}}}\end{align}\] Since magnification of an object approaching towards mirror increases, the speed of image increases. – Rohit Ner · 10 months ago

Log in to reply

– Adarsh Kumar · 10 months ago

Thanks a lot!Log in to reply

@Aditya Kumar @Surya Prakash – Adarsh Kumar · 10 months ago

Log in to reply

– Aditya Kumar · 10 months ago

U just have to differentiate the main equation wrt time.Log in to reply

– Adarsh Kumar · 9 months, 4 weeks ago

Yeah.Thanks.Log in to reply