A concave mirror with focal length 24.0 cm is placed 40.0 cm to the left of the object.A convex lens of focal length 12.0 cm is placed 40.0 cm to the right of the object.Where is the image formed by both the mirror and the lens?

Question

Quizplus · Accepted Answer

We can find the image position using the mirror formula:

1/f = 1/do + 1/di

where f is the focal length of the mirror, do is the object distance (40 cm to the left of the mirror), and di is the image distance.

Substituting the given values:

1/24 = 1/40 + 1/di

Solving for di:

di = 60 cm

This means that the mirror forms an image 60 cm to the right of the mirror.

Next, we can find the position of the final image formed by both the mirror and the lens using the lens formula:

1/f = 1/do + 1/di'

where f is the focal length of the lens and di' is the final image distance.

Substituting the given values:

1/12 = 1/40 + 1/di'

Solving for di':

di' = 30 cm

Therefore, the final image is formed 30 cm to the right of the lens, which is answer choice B.

A Concave Mirror with Focal Length 24