Question

if an object of 7 cm height is placed at a distance of 12 cm from a convex lens focal length 8 cm find the position nature and the height of the image

Answer 1

Nature - Real and Inverted
Position of image - Beyond 2f2 ( Because the object is placed between f1 and 2f1)
Height of image - 4.8cm

Thank you

Answer 2

Answer:

Given: U= -12cm, f=+8 cm

Putting these values in the lens formula.

$\frac{1}{v}\:-\: \frac{1}{u}\:=\: \frac{1}{f} \:\: we\:get,\:\frac{1}{v}\:-\: \frac{1}{-12}\:=\: \frac{1}{f}\\\\\frac{1}{v}\:=\: \frac{1}{8}\:-\: \frac{1}{12}\:\:\:thus,\:\frac{1}{v}\:=\:\frac{1}{24}\\V\:=\:+24\:cm\\\\Magnification,\:m\:=\:\frac{v}{u}\:=\:\frac{h1}{h2}\\\\\\m\:=\:\frac{24}{-12}\:=\:\frac{h2}{7},\\\\Thus,\:h2\:=\:-14cm$

Hope it helps you :)