A student measures the focal length of a convex lens by measuring object distance ‘ u ’ and image distance ‘ v ’. The graph between u and v should loo - Physics MCQ AIEEE 2026 | ExamTest.live

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A student measures the focal length of a convex lens by measuring object distance ‘ u ’ and image distance ‘ v ’. The graph between u and v should look like:

Solution & Step-by-step Explanation

According to lens formula: \frac{1}{v} - \frac{1}{u} = \frac{1}{f} .Rearranging: v = \frac{u f}{u + f} .This represents a rectangular hyperbola shifted from the origin. In the u - v plane, the relationship between u and v for a real object and real image is hyperbolic.

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A student measures the focal length of a convex lens by measuring object distance ‘ u ’ and image distance ‘ v ’. The graph between u and v should look like:

A straight line passing through origin

A straight line with negative slope

A hyperbola

A parabola

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