Question

A convex mirror of focal length f is placed at the origin with its reflecting surface towards the negative x axis. Chose the correct graph between v and u for $0\le u\le -\infty$
[The object is real

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

For a convex mirror, $v=\frac{x{f}_0}{x+f_0}$ with $f=+f_0$ and $u=-x$. We can easily conclude the
Following:
For any value of x, v is always positive and less than $f_0$
As $x\to \infty ,v=f_0$
At $x=f_0,v=\frac{f_0}{2}$
As $x\to 0,v=0$