Physics High School

a student is 2.50m away from a convex lens while her image is 1.80m from the lens, what is the focal length?

Answers

Answer 1

To find the focal length of a convex lens, we can use the formula:
1/f = 1/di + 1/do

Where f is the focal length, di is the distance of the image from the lens, and do is the distance of the object from the lens.

We are given that the student is 2.50m away from the lens, so do = 2.50m. We are also given that the image is 1.80m from the lens, so di = 1.80m.

Plugging these values into the formula, we get:
1/f = 1/1.80 + 1/2.50

Simplifying this equation, we get:
1/f = 0.5556

Multiplying both sides by f, we get:
f = 1.80 / 0.5556

Solving for f, we get:
f ≈ 3.24 meters

Therefore, the focal length of the convex lens is approximately 3.24 meters.

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Answer 2

A convex lens is 1.80 meters from a student who is 2.50 meters distant, and its focal length is 1.04 meters.

To solve this problem, we can use the lens equation:

1/f = 1/do + 1/di

where f is the focal length of the lens, do is the object distance (distance of the object from the lens), and di is the image distance (distance of the image from the lens).

In this problem, the object distance is do = 2.50 m and the image distance is di = 1.80 m. We can plug these values into the lens equation and solve for the focal length:

1/f = 1/do + 1/di

1/f = 1/2.50 + 1/1.80

1/f = 0.4 + 0.56

1/f = 0.96

f = 1/0.96

f ≈ 1.04 meters

Therefore, the focal length of the convex lens is approximately 1.04 meters.

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