183k views
4 votes
An object of height 3 cm is placed at 25 cm in front of a converging lens of focal length 20 cm. Behind the lens there is a concave mirror of focal length 20 cm. The distance between the lens and the mirror is 5 cm. Find the location, orientation and size of the final image.

1 Answer

3 votes

Final answer:

To find the location, orientation, and size of the final image, we can use the lens and mirror equations. The lens equation is 1/f = 1/v - 1/u, and the mirror equation is 1/f = 1/v + 1/u.

Step-by-step explanation:

To find the location, orientation, and size of the final image, we need to analyze the optical system. The object is placed 25 cm in front of the converging lens with a focal length of 20 cm. The distance between the lens and the concave mirror is 5 cm, and the focal length of the mirror is also 20 cm.

Given these parameters, we can use the lens and mirror equations to determine the characteristics of the image.

The lens equation is given by 1/f = 1/v - 1/u, where f is the focal length, v is the image distance, and u is the object distance.

Once we calculate the image distance for the lens, we can use it as the object distance for the mirror.

With the mirror equation 1/f = 1/v + 1/u, we can find the final image distance and use it to determine the size and orientation of the image.

User Abudis
by
8.7k points