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GalinKa [24]
3 years ago
13

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 mirro

r? A. 4.1cm B. 8.2 cm C. 9.9 cm D. 20 cm​
Physics
1 answer:
Dvinal [7]3 years ago
6 0

Answer:

C. 9.9 cm

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;

\dfrac{1}{u} -\dfrac{1}{v} = -\dfrac{1}{f}

Therefore, we get;

\dfrac{1}{14 \ cm} -\dfrac{1}{5.8 \ cm} =- \dfrac{41}{406 \ cm} = -\dfrac{1}{f}

Therefore;

f = \dfrac{406 \ cm}{41}  \approx 9.9 \ cm

The focal length of the mirror, f ≈ 9.9 cm

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