Hence $ n_A\downarrow -n_B = x\uparrow$ ... $(i)$ $\rightarrow$ Correct
$n_B -n_A\uparrow = x\uparrow$ ... $(ii)$ $\rightarrow$ Wrong
==> $n_A = n_B + x = 512 + 5 = 517 Hz.$
$(A)$ The speed of sound determined from this experiment is $332 m s ^{-1}$
$(B)$ The end correction in this experiment is $0.9 cm$
$(C)$ The wavelength of the sound wave is $66.4 cm$
$(D)$ The resonance at $50.7 cm$ corresponds to the fundamental harmonic