The frequency (n), of a tuning fork, depends upon the length (l) of its proungs and the density (d) and Young’s modules (Y) of its material, through the relation
n = \(\frac{k}{l}\sqrt{\frac{Y}{d}}\)
If the relative percentage errors, in the determination of n, l and d are 0.1%, 0.5% and 1%, respectively, the relative percentage error, in the determination of Y, would be
(1) 2.2%
(2) 1.6%
(3) 1.1%
(4) 0.95%