Question

A candle burns 1.2 m away from a lens with a focal length of 0.4 m. how far away from the lens will an image form?

Answer 1

0.6 m

Step-by-step explanation:

We can solve the problem by using the lens equation:

`(1)/(f)=(1)/(p)+(1)/(q)`

where

f is the focal length

p is the distance between the lens and the candle

q is the distance between the image and the lens

In this problem, we have

p = 1.2 m is the distance of the candle from the lens

f = 0.4 m is the focal length

Solving the equation for q, we find

`(1)/(q)=(1)/(f)-(1)/(p)=(1)/(0.4 m)-(1)/(1.2 m)=1.67 m^(-1)\\q=(1)/(1.67 m^(-1))=0.6 m`