Question

A 2 cm needle is placed 20 cm away from a concave mirror of focal length 10 cm. find the position, nature and size of the image formed.​

Answer 1

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Given

u = 20

f = 10

v = ?

According to mirror formula

$\frac{1}{f} = \frac{1}{u} + \frac{1}{v} \\ \\ \frac{1}{v} = \frac{1}{f} - \frac{1}{u} \\ \\ \frac{1}{v} = \frac{1}{10} - \frac{1}{20} \\ \\ \frac{1}{v} \: = \frac{2 - 1}{20} \\ \\ \frac{1}{v} = \frac{1}{20} \\ \\ v = 20$

Size of image is equal to size of object

Image is real and inverted

Position = At 2f

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Answer 2

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