In an experiment to measure focal.... | JEE Main 2024

JEE MAIN 2024

04-04-24 S1

Question

In an experiment to measure focal length (f) of convex lens, the least counts of the measuring scales for the position of object $(u)$ and for the position of image $(v)$ are $\Delta u$ and $\Delta v$, respectively. The error in the measurement of the focal length of the convex lens will be :

Select the correct option:

(1) $\frac{\Delta u}{u}+\frac{\Delta v}{v}$

$\mathrm{f}^2\left[\frac{\Delta \mathrm{u}}{\mathrm{u}^2}+\frac{\Delta \mathrm{v}}{\mathrm{v}^2}\right]$

$2 \mathrm{f}\left[\frac{\Delta \mathrm{u}}{\mathrm{u}}+\frac{\Delta \mathrm{v}}{\mathrm{v}}\right]$

$f\left[\frac{\Delta u}{u}+\frac{\Delta v}{v}\right]$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution