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A clown figurine is located 21.0 cm in front of a thin lens that has a focal length of 17.0 cm. Where would the image appear, and would it be real or virtual?

15.2 cm, virtual
89.3 cm, real
111 cm, real
−65.2 cm, virtual

1 Answer

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Answer:

c) 111 cm, real.

Step-by-step explanation:

We can use the thin lens equation to determine the location and nature of the image:

1/f = 1/do + 1/di

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

Substituting the given values, we get:

1/17 = 1/21 + 1/di

Simplifying and solving for di, we get:

di = 1 / (1/17 - 1/21)

di = 111 cm

Since the value of di is positive, the image is formed on the opposite side of the lens as the object, which means it is a real image.

Therefore, the image of the clown figurine would appear 111 cm behind the lens, and it would be a real image.

The correct option is (c) 111 cm, real.
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