Question

an object is placed at a distance of 8cm from a convex mirror of focal length 12 cm. find the position of the image formed.​

Answer 1

distance will be the same as the distance of object from the mirror

Answer 2

Question:

An object is placed at a distance of 8cm from a convex mirror of focal length 12 cm.Find the position of the image formed.

Formula used:

Mirror formula

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

Solution:

According to the question,

u = -8cm

f = -12cm

We need to find, the value of v.

$\implies \frac{ - 1}{ 8} + \frac{1}{v} = \frac{1}{12} \\ \implies \frac{1}{v} = \frac{1}{12} + \frac{1}{8} \\ \implies \frac{1}{v} = \frac{2 + 3}{24} \\ \implies \frac{1}{v} = \frac{5}{24} \\ \implies v = \frac{24}{5} = 4.8cm$

Hence,the image will be formed at a distance of 4.8cm of the mirror.