Question

An object 3cm high is placed at a distance of 20cm in front of a concave mirror of radius of curvature 50cm. Find the position and size of the image formed.

Answer 1

Hey there!!

We are given that -

u = -20 cm

f = -25 cm

Height of the object , H= 3 cm

using mirror formula -

$\frac{1}{f} = \frac{1}{v} + \frac{1}{u} \\ \\ = > \frac{1}{v} \: = \frac{ - 1}{25} - \frac{1}{ - 20} \\ \\ = > \frac{1}{v} = \frac{ - 4 + 5}{100} \\ \\ = > v \: = 100cm$
we know ,

$\frac{h}{ H} \: = \frac{ - v}{u} \\ = > \frac{h}{3} = \frac{ - 100}{20} \\ \\ = > 20h \: = 300 \\ \\ = > h \: = - 15 \:$


Hope this would help u !!!