A concave mirror forms a real image at 20 cm from the mirror surface along the principal axis. If the corresponding object is at a 380cm distance, what is the mirror’s focal length?

Respuesta :

Given that the image distance is v = -20cm

The object distance is u = -380 cm.

We have to find the focal length, f.

The formula to find the focal length is

[tex]\frac{1}{f}=\frac{1}{u}+\frac{1}{v}[/tex]

Substituting the values, the focal length will be

[tex]\begin{gathered} \frac{1}{f}=\frac{1}{-380}+\frac{1}{-20} \\ =-\frac{1}{19} \\ f=-19\text{ cm} \end{gathered}[/tex]

Thus, the focal length is -19 cm.