Question

An object is 10. cm from the mirror, its height is 3.0 cm, and the focal length is 2.0 cm. What is the distance from the image to the mirror? si = _____ cm

Answer 1

20 cm because the distance between mirror is 10 cm and distance between mirror and the object which formed on mirror and total dustance between is 20 cm
please give me brainleast if you are satisfy my answer

Answer 2

Answer: The distance of the image is 1.67 cm for convex mirror and -2.5 cm for concave mirror.

Explanation:

Given that,

The distance of the object u = 10 cm

Height of the object h = 3.0 cm

Focal length = 2.0 cm

let us considered this mirror is convex mirror.

Using mirror's formula

$\dfrac{1}{f}=\dfrac{1}{v}+\dfrac{1}{u}$

$\dfrac{1}{2}=\dfrac{1}{v}+\dfrac{1}{-10}$

$\dfrac{1}{2}-\dfrac{1}{10}=\dfrac{1}{u}$

$\dfrac{1}{v}=\dfrac{3}{5}$

$v = \dfrac{5}{3}$

$v = 1.67\ cm$

If the mirror is concave mirror,

$\dfrac{1}{-2}=\dfrac{1}{v}+\dfrac{1}{-10}$

$\dfrac{1}{-2}-\dfrac{1}{10}=\dfrac{1}{u}$

$\dfrac{1}{v}=\dfrac{-2}{5}$

$v = \dfrac{-5}{2} cm$

$v = -2.5\ cm$

Hence, The distance of the image is 1.67 cm for convex mirror and -2.5 cm for concave mirror.