d
(d)
Given speed of sound,
$v=300 \,ms ^{-1}$
And wave equation is
$y=y_0 \sin \left(\frac{2 \pi}{L} x\right) \cdot \sin \left(\frac{2 \pi}{L} x+\frac{\pi}{4}\right)$
So, angular wave number,
$k=\frac{2 \pi}{\lambda}=\frac{2 \pi}{L}$
$\therefore \quad \lambda=L=1.2 \,m$
Frequency of fundamental vibration is
$v=\frac{v}{\lambda}=\frac{300}{12}=250 \,Hz$
So, option $(d)$ is incorrect.