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Lens Formula

The lens formula relates object distance, image distance, and focal length for a thin lens.

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Main explanation

Teacher explanation

For class 10, use 1/f = 1/v - 1/u with Cartesian sign convention. It works for both convex and concave lenses if signs are applied correctly. The formula helps predict whether the image will be real or virtual and how far it will form.

Example

For a convex lens with f = 15 cm and u = -30 cm, the image distance is 30 cm.

Simple analogy

Lens formula is mirror formula with its own sign pattern.

Common confusion

Students often use 1/f = 1/u + 1/v or forget that object distance is negative in front of the lens.

Exam tip

A real object is usually placed on the left side, so u is negative in the Cartesian sign system.

Answer writing and exam use

1-mark use

Write the exact meaning of lens formula in one clean line.

2-mark use

Define lens formula and add one example or condition.

3-mark use

Explain lens formula, show the method or example, and mention the common mistake.

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