Question

A 24.8 cm tall object is placed in front of a lens, which creates a -3.09 cm tall image. If the object is 37.5 cm from the lens, what is the image distance? pls help

Answer 1

Answer:

v = 4.67 m

Explanation:

It is given that,

Height of the object is 24.8 cm

Height of the formed image is -3.09 cm

Object distance is 37.5 cm, it is negative always

We need to find the image distance. Let v is the image distance. Magnification of an object is given by the formula as follows :

$\dfrac{h'}{h}=\dfrac{v}{u}\\\\v=\dfrac{uh'}{h}\\\\v=\dfrac{-37.5\times (-3.09)}{24.8}\\\\v=4.67\ m$

So, the image is formed at a distance of 4.67 m.