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An object is placed 10.0 cm in front of a lens. An upright, virtual image is...

An object is placed 10.0 cm in front of a lens. An upright, virtual image is formed 30.0 cm away from the lens. What is the focal length of the lens? Is the lens converging or diverging?

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Answer #1

The expression for the focal length of the lens is,

Here, P is the object distance and q is the image distance.

The object distance is

The image distance is

An image distance is taken as negative because the image is virtual.

From lens equation

Substitute 10 cm for p and -30 cm for q in the above equation.

Rewrite the above expression for f.

Hence, the focal length of the lens is .

The expression for the magnification of the image is,

Substitute 10 cm for p and -30 cm for q in the above equation.

As the image is magnified, upright and virtual the lens is convex lens.

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