JEE MATHEMATICS MCQ: ERRORS & APPROXIMATION

1 Easy

1 of 1

Application +4 | -1

The focal length of a mirror is given by

\frac{1}{v}-\frac{1}{u}=\frac{2}{f}

. If equal errors are made in measuring

u

and

v

, then the relative error in

f

, is

View answer and explanation

Correct option: B

\alpha\left(\frac{1}{u}+\frac{1}{v}\right)

Option B (

\alpha\left(\frac{{1}}{{u}} + \frac{{1}}{{v}}\right)

) is correct because it represents the relative error in f calculated using differentials.

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