Question

When an object is placed in front of a convex mirror at a distance 'u' from the pole of the mirror such that the size of the image is 'n' times that of the object, then the object distance 'u' is

• A. $\frac{f}{n^2}$
• B. $nf - f$
• C. $\frac{f}{n}$
• D. $\frac{f}{n^2}$

Hint:

Remember that convex mirrors always produce diminished, virtual images with a negative focal length.

Answer 1

The Correct Option is A

For a convex mirror, the relationship between the object distance $u$, the image size ratio $n$, and the focal length $f$ is given by the formula: $$ u = \frac{f}{n^2} $$ This formula is derived from the mirror equation and magnification relation.