An object 5.00 cm tall is placed 15.0 cm from a converging lens, and a real image is formed 7.

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An object 5.00 cm tall is placed 15.0 cm from a converging...

An object $5.00 \mathrm{~cm}$ tall is placed $15.0 \mathrm{~cm}$ from a converging lens, and a real image is formed $7.50 \mathrm{~cm}$ from the lens. (a) What is the focal length of the lens? (b) What is the size of the image?

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Key Concepts

Magnification

Magnification describes how much larger or smaller the image is compared to the object, and is given by the ratio m = -d_i/d_o. The negative sign in this formula indicates that the image is inverted relative to the object, which is a key characteristic of real image formation with converging lenses.

Real Image Formation

Real image formation occurs when light rays actually converge to form an image that can be projected onto a screen. In a converging lens, when the object is placed outside the focal length, a real and typically inverted image is produced. This concept is critical for understanding how lenses create images in devices like cameras and projectors.

Thin Lens Equation

The thin lens equation relates the focal length of a lens to the object and image distances using the formula 1/f = 1/d_o + 1/d_i. This is a fundamental concept in geometrical optics that allows us to predict where an image will form based on the position of an object relative to a lens.

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