Question

If an object is 14 cm in front of convex mirror and image distance is 5.8 cm then it's focal length is
a)-20 cm
b)-4.1cm
c)-9.9 cm
d)-8.2 cm​

Answer 1

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ANSWER- OPTION C


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Answer 2

The focal length of the convex mirror is (-4.1 cm) and it is negative.

Explanation:

Given that,

Object distance from the convex mirror, u = -14 cm (it is considered as negative)

Image distance from the mirror, v = -5.8 cm (negative as image is formed in the direction of object)

Let f is the focal length of the mirror. It is required to find it. It can be given by mirror's formula as :

$\dfrac{1}{f}=\dfrac{1}{v}+\dfrac{1}{u}\\\\\dfrac{1}{f}=\dfrac{1}{-5.8}+\dfrac{1}{(-14)}$

f = -4.1 cm

So, the focal length of the convex mirror is (-4.1 cm) and it is negative.

Learn more,

Mirrors formula

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