A student is investigating how the choice of algebraic signs affects numerical work…

PHYSICS · Multi-part · CBSE · Physics · Light — Reflection and Refraction · Light — Reflection and Refraction

Problem

A student is investigating how the choice of algebraic signs affects numerical work with spherical mirrors. (a) State the Cartesian sign convention used while measuring object distance, image distance and focal length for spherical mirrors. (b) With reference to this convention, explain why the focal length of a concave mirror is taken with a sign opposite to that of a convex mirror when the object is placed in front of the mirror. (c) The student writes the relation 1f=1v−1u\dfrac{1}{f}=\dfrac{1}{v}-\dfrac{1}{u} for a concave mirror and substitutes values without signs. Identify and explain the error in this step, and rewrite the correct algebraic relation that should be used.

Related theory

Browse the problem library