In an experiment to measure the power of a convex lens, the least count of measuring scale for the position of object u and the position of image v are u and v respectively. The error P in measurement of power of a convex lens will be

Step-by-step solution

The power of a lens is given by P = 1 f Using the lens formula, we can write the power in terms of object distance u and image distance v as: P = 1 v - 1 u Differentiating both sides to find the error in power, we get: dP = - dv v^2 + du u^2 To find the maximum permissible error, we take the absolute values of the individual error terms and add them: P = v v^2 + u u^2 Answer: v v^2 + u u^2