Question

You have a convex lens. A candle is located 7.0 cm from the lens. The image of the candle appears at a distance 48 cm from the lens. What is the focal length of the lens?

Answer 1

6.1 cm

Step-by-step explanation:

The focal length of the lens is 6.1 or 6.11 cm

Answer 2

Using the thin lens equation, we have:

1/f = 1/d_o + 1/d_i

where f is the focal length of the lens, d_o is the distance of the object from the lens, and d_i is the distance of the image from the lens.

Plugging in the given values, we get:

1/f = 1/7 + 1/48

Simplifying this expression, we get:

1/f = 0.2024

Multiplying both sides by f, we get:

f = 4.94 cm

Therefore, the focal length of the convex lens is 4.94 cm.