A converging lens has a focal length of 88.00 cm. An object 13.0 cm tall is located 155.0 cm in

step 1 So let's start talking about part A. The equation to use is 1 over DO plus 1 over D .I is equal

A converging lens has a focal length of 88.00 cm. An object...

A converging lens has a focal length of $88.00 \mathrm{cm}$. An object $13.0 \mathrm{cm}$ tall is located $155.0 \mathrm{cm}$ in front of this lens. (a) What is the image distance? (b) Is the image real or virtual? (c) What is the image height? Be sure to include the proper algebraic sign.

Key Concepts

Real vs. Virtual Images

Real images occur when light rays converge and can be projected onto a screen; they are usually formed on the opposite side of the lens relative to the object. In contrast, virtual images arise when light rays diverge, making the image appear to be located on the same side as the object, and they cannot be projected onto a screen.

Magnification

Magnification in lens systems is determined by m = -di/do, which not only gives the ratio of the image distance to the object distance but also indicates image orientation. In conjunction with the physical height relation, m = hi/ho, this factor informs both the size of the image relative to the object and whether the image is inverted (negative magnification) or upright (positive magnification).

Thin Lens Equation

The thin lens equation, 1/f = 1/do + 1/di, relates the focal length (f) of a lens to the object distance (do) and the image distance (di). It is a fundamental formula in geometric optics that allows one to predict where an image will form given a specific object position and lens focal length.

Converging Lens Characteristics

Converging lenses, or convex lenses, feature a positive focal length and collect light rays from an object by bending them inward to a focal point. Depending on the object's placement relative to the focal length, converging lenses can produce either real images, where light actually converges, or virtual images, where the apparent convergence is not physically realized.

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