The displacement of a string is given by

$$y(x, t)=0.06 \sin \left(\frac{2 \pi x}{3}\right) \cos (120 \pi t)$$

where $x$ and $y$ are in metre and $t$ in second. The length of the string is 1.5 m and its mass is $3.0 \times 10^{-2} \mathrm{~kg}$.

Speed of sound wave in a fluid depends upon

During propagation of a plane progressive mechanical wave,

The transverse displacement of a string (clamped at its both ends) is given by $y(x, t)=0.06 \sin \left(\frac{2 \pi x}{3}\right) \cos (120 \pi t)$. All the points on the string between two consecutive nodes vibrate with

A train, standing in a station yard, blows a whistle of frequency 400 Hz in still air. The wind starts blowing in the direction from the yard to the station with a speed of $10 \mathrm{~m} / \mathrm{s}$. Given that the speed of sound in still air is $340 \mathrm{~m} / \mathrm{s}$. Then