Question

a convex mirror has a focal length f real object is placed at a distance of in front of it from the pole produces an image at what distance

Answer 1

1\v +1\u=1\f
v is distance of image from mirror
u is distance of object from mirror
f is the focal length
hope the formula will help you to find the answer

Answer 2

Answer: The image produced is at the distance of $\bold{\frac{2}{f}}$.

Solution:

Given: Focal length of convex mirror as f

           Distance of the object from the mirror = u

           Distance of the image from the mirror = v

The convex mirror with object placed in front of it at a distance from the pole forms an image by it whose distance  is given by the formula.

As we know that the sign convention is used, so we must know whether the image is real or virtual.

Then we may apply the optic formula as given $\frac{1}{v}+\frac{1}{u}=\frac{1}{f}$

$\bold{\frac{1}{v}=\frac{1}{f}-\frac{1}{u}=\frac{1}{f}-\frac{1}{-f}=\frac{2}{f}}$