First harmonic is obtained at
$l=\frac{\lambda}{4}=50 \mathrm{cm}$
Third harmonic is obtained for resonance,
$l^{\prime}=\frac{3 \lambda}{4}=3 \times 50=150 \mathrm{cm}$
Which one of the following correctly shows the direction of the velocity of the points $1, 2$ and $3$ on the string
${y_1} = {10^{ - 6}}\sin [100\,t + (x/50) + 0.5]m$
${y_2} = {10^{ - 6}}\cos \,[100\,t + (x/50)]m$
where $ x$ is expressed in metres and $t$ is expressed in seconds, is approximately .... $ rad$