Question

iv. An object is 14 cm in front of a convex mirror. The image is 5.8 cm behind the mirror. What is the focal length of the mirror? A. 4.1cm B. 8.2 cm C. 9.9 cm D. 20 cm​

Answer 1

C. 9.9 cm

Step-by-step explanation:

The location of the object, u = 14 cm

The location of the image, v = 5.8 cm

The focal length of the mirror, f = Required

The mirror formula for a convex mirror is given as follows;

`(1)/(u) -(1)/(v) = -(1)/(f)`

Therefore, we get;

`(1)/(14 \ cm) -(1)/(5.8 \ cm) =- (41)/(406 \ cm) = -(1)/(f)`

Therefore;

`f = (406 \ cm)/(41) \approx 9.9 \ cm`

The focal length of the mirror, f ≈ 9.9 cm