Question

Let \( u \) and \( v \) be the distances of the object and the image from a lens of focal length \( f \). The correct graphical representation of \( u \) and \( v \) for a convex lens when \( |u| > f \), is:

• A. Linear graph
• B. Inverse graph
• C. Parabolic graph
• D. Hyperbolic graph

Hint:

For a convex lens, the object and image distances follow the lens formula, and the graph between \( u \) and \( v \) will be an inverse curve.

Answer 1

The Correct Option is B

For a convex lens, when the object is farther away than the focal length (\( |u| > f \)), the relationship between the object distance \( u \) and image distance \( v \) is governed by the lens formula: \[ \frac{1}{f} = \frac{1}{v} - \frac{1}{u} \] This is an inverse relationship, which is represented graphically as an inverse graph.