Question

6. Image of an object placed at a distance of 40 cm from a convex mirror, is formed at a
distance of 10 cm. Find the focal length of the convex mirror​

Answer 1

Given :-

• Object distace (u) = -40cm
• Image distace (v) = 10cm

To Find :-

• The focal length (f) of the convex mirror.

Solution :-

Applying mirror formula :-

$\large{ \boxed{ \bold{ \sf{ \frac{1}{v} + \frac{1}{u} = \frac{1}{f} }}}}$

[ Put values ]

$\mapsto \: \sf \: \frac{1}{10} + \frac{1}{ - 40} = \frac{1}{f}$

$\mapsto \: \sf \: \frac{1}{10} - \frac{1}{40} = \frac{1}{f}$

$\mapsto \: \sf \: \frac{4 - 1}{40} = \frac{1}{f}$

$\mapsto \: \sf \: \frac{3}{40} = \frac{1}{f}$

$\mapsto \: \sf \: 3f = 40$

$\mapsto \: \sf \: f = \frac{40}{3}$

$\mapsto \: { \boxed{ \blue{ \sf f= 13.3cm}}}$

Hence,

• The focal length of convex mirror is 13.3cm.

Answer 2

Explanation:

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