Question

Question: Answered & Verified by Expert

The focal length of a mirror is given by

\frac{1}{f} = \frac{1}{u} + \frac{1}{v}

where

u

and

v

represent object and image distances respectively. The maximum relative error in

f

is

PhysicsUnits and DimensionsJEE Main

Options:

A $\frac{∆ f}{f} = \frac{∆ u}{u} + \frac{∆ v}{v}$
B $\frac{∆ f}{f} = \frac{∆ u}{u} + \frac{∆ v}{v} - \frac{∆ (u + v)}{u + v}$
C $\frac{∆ f}{f} = \frac{∆ u}{u} + \frac{∆ v}{v} - \frac{∆ (u - v)}{u + v}$
D $\frac{∆ f}{f} = \frac{∆ u}{u} + \frac{∆ v}{v} + \frac{∆ u}{u + v} + \frac{∆ v}{u + v}$