Question

A compound lens system consists of two converging lenses, one at x = -20 cm with focal length f1 = 10 cm, and the other at x = ?

Answer 1

To find the focal length of the second lens in a compound lens system, we can use the lens formula. Substituting the given values, we can calculate that the second lens is located at x = -6.67 cm.

Step-by-step explanation:

The question is asking for the focal length of the second lens in a compound lens system. We are given that the first lens has a focal length f1 = 10 cm and is located at x = -20 cm. To find the position of the second lens, we can use the lens formula:

1/f = 1/f1 + 1/f2

Substituting the given values f1 = 10 cm and x = -20 cm, we can solve for f2:

1/f2 = 1/f - 1/f1

1/f2 = 1/x - 1/f1

1/f2 = 1/(-20) - 1/10

1/f2 = -0.05 - 0.1

1/f2 = -0.15

f2 = -6.67 cm

Therefore, the second lens is located at x = -6.67 cm.