Question

An object is 39 cm away from a concave mirrors surface along the principles axis. If the mirrors focal length is 9.50 cm, how far away is the corresponding image?

Answer 1

12.6 cm

Step-by-step explanation:

We can use the mirror equation to find the distance of the image from the mirror:

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

where here we have

f = 9.50 cm is the focal length

p = 39 cm is the distance of the object from the mirror

Solving the equation for q, we find:

`(1)/(q)=(1)/(f)-(1)/(p)=(1)/(9.50 cm)-(1)/(39 cm)=0.080 cm^(-1)\\q = (1)/(0.080 cm)=12.6 cm`