Calculation of the Focal length of a Convex Mirror

Step 1: Identify the given parameters

- Radius of curvature (R) = 32cm

Step 2: Use the formula to calculate the focal length (f)

- f = R/2

Step 3: Substitute the value of R in the formula

- f = 32/2
- f = 16cm

Therefore, the focal length of a convex mirror whose radius of curvature is 32cm is 16cm.

Explanation:

- A convex mirror is a spherical mirror where the reflecting surface bulges outwards.
- The radius of curvature is the distance between the center of curvature (C) and the vertex of the mirror (V).
- The focal length is the distance between the vertex of the mirror (V) and the focal point (F).
- The formula to calculate the focal length of a convex mirror is f = R/2, where R is the radius of curvature.
- By substituting the given value of R in the formula, we can calculate the focal length of the convex mirror.
- In this case, the focal length of the convex mirror is 16cm.

Focal length is half of the radius of curvature i.e f=R/2.Hence the focal length of the mirror is 16 cm.