Question

A 5.0 cm object is 12.0 cm from a concave mirror that has a focal length of 24.0 cm. The distance between the image and the mirror is
cm.

Answer 1

the distance is same of object from mirror so ans. is 12 cm

Answer 2

The distance of image from mirror is 24 cm.

Solution:

The object is placed at a distance of 12 cm from concave mirror which has a height of 5 cm. distance between image and mirror is attained by –

Given: h = 5 cm

           u = -12 cm

To find: v = ?

f = - 24 cm

As we know that, $\frac{1}{f}=\frac{1}{v}+\frac{1}{u}$

$\begin{array}{l}{\frac{1}{-24}=\frac{1}{v}+\frac{1}{-12}} \\ \\{\frac{1}{-24}=\frac{1}{v}-\frac{1}{12}} \\ \\{\frac{1}{-24}+\frac{1}{12}=\frac{1}{v}}\end{array}$

$\begin{aligned} \frac{1}{v} &=-1+\frac{2}{-24} \\ \frac{1}{v} &=\frac{1}{-24} \\ v &=-24 \mathrm{cm} \end{aligned}$