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An object is placed at 1.5 m from a convex lens with a focal length of 1.0 m.

a. Use the thin lens equation to determine the image distance from the lens.
b. If the object height is 2.0 m, what is the image height?
c. Is the image real or virtual? Is the image inverted or upright?​

2 Answers

2 votes

Final answer:

The image distance from the lens is 3.0 m and the image height is 2.0 m. The image is real and inverted.

Step-by-step explanation:

To determine the image distance from the lens, we can use the thin lens equation:

1/f = 1/do + 1/di

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

Plugging in the given values, we have:

1/1.0 = 1/1.5 + 1/di

Solving this equation, we find that the image distance is 3.0 m from the lens.

To find the image height, we can use the magnification formula:

m = -di/do

Plugging in the given values, we have:

m = -3.0/1.5 = -2.0

Since the magnification is negative, the image is inverted.

Therefore, the image distance is 3.0 m from the lens and the image height is 2.0 m. The image is real and inverted.

User Michael Melanson
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A. Use the thin lens equation to determine the image distance from the lens. Is the correct answer because I have no idea why
User Roterl
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