In a resonance tube open at one end, the end correction is $1.1$ cm. If the shortest length of resonating air column with a tuning fork is $18$ cm, the next resonating length will be

For stationary wave, $y = 12\cos\left(\dfrac{\pi x}{10}\right)\sin(36\pi t)$ cm, the distance between a node and the successive antinode is

Two waves of same frequency ($n$) approaching each other with same velocity of $18$ m/s interfere. The distance between two consecutive antinodes is

The equation of a progressive wave is given by $y = 6\cos(100t - 4x)$ where $y$ is in $\mu\text{m}$, $x$ in metre and $t$ in second. The ratio of the maximum particle velocity to the velocity of wave is