A concave spherical mirror with a focal length of 9.0 cm faces a plane mirror wi

Question

A concave spherical mirror with a focal length of 9.0 cm faces a plane mirror with the optical axis of the spherical mirror perpendicular to the plane mirror. A small object is placed at point P on the optical axis, 9.0 cm from the plane mirror and 29 cm from the vertex of the spherical mirror. Find the distance from the plane mirror to the three nearest images. (Enter your answers from smallest to largest.)

First nearest image:

Second nearest image:

Third nearest image:

(Please be detailed in how to solve the problem as I am trying to understand the logic behind how it is set up. Thanks!)

Explanation / Answer

Here, 1/u + 1/v = 1/f

=>       1/v = -1/9 + 1/29

=> v = - 13.05 cm

=>    First nearest image =   13.05 cm

=> 1/v =   -1/13.05 + 1/29

=> v = - 23.72 cm

=>   Second nearest image =   23.72 cm

=>   1/v =   -1/23.72 + 1/29

=> v = - 130.28 cm

=>   Third nearest image =   130.28 cm

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.