The fundamental frequency in case $(b)$ is
$f^{\prime}=\frac{v}{4(\ell / 2)}=\frac{u}{2 \ell}=f$
${z_1} = a\cos (kx - \omega \,t)$.....$(A)$
${z_2} = a\cos (kx + \omega \,t)$.....$(B)$
${z_3} = a\cos (ky - \omega \,t)$..... $(C)$


$\left(t_{0}\right.$ represents the instant when the distance between the source and observer is minimum)
