Identify the correct relation between radius of curvature ‘R’, object distance ‘u’ and image distance ‘v’ for a spherical mirror.

Correct option is B

Correct Answer: (b) $$R=\frac{2uv}{u+v}$$​

Explanation:
For a spherical mirror, the focal length fff is related to the radius of curvature RRR by the formula:

R=2f

The mirror formula is:

​$$\frac1f= \frac{1}{u} + \frac{1}{v}$$​​

From the mirror formula, the focal length f can be expressed as:

​$$f=\frac{uv}{u+v}$$​​

Substituting fff into the relation R=2f:

​$$R=2 \frac{uv}{u+v}$$​​

Simplifying:

​$$R=\frac{2uv}{u+v}$$​​

Thus, the correct relation is $$R= \frac{2uv}{u+v}$$​