Match Column - $A$ with Column - $B$.

Column - $A$	Column - $B$
$(a)$ Minimum change in pressure	$(i)$ Antinodal point
$(b)$ Maximum change in pressure	$(ii)$ Nodal point

Find the wrong statement from the following about the equation of a stationary wave given by $Y = 0.04 \cos(\pi x) \sin(50 \pi t) \text{ m}$,where $t$ is in seconds.

One end of a taut string of length $3 \ m$ along the $x$-axis is fixed at $x=0$. The speed of the waves in the string is $100 \ m/s$. The other end of the string is vibrating in the $y$-direction so that stationary waves are set up in the string. The possible waveform$(s)$ of these stationary waves is (are):
$(A)$ $y(x,t) = A \sin \frac{\pi x}{6} \cos \frac{50 \pi t}{3}$
$(B)$ $y(x,t) = A \sin \frac{\pi x}{3} \cos \frac{100 \pi t}{3}$
$(C)$ $y(x,t) = A \sin \frac{5 \pi x}{6} \cos \frac{250 \pi t}{3}$
$(D)$ $y(x,t) = A \sin \frac{5 \pi x}{2} \cos 250 \pi t$

The correct statement about stationary waves is that

The distance between the nearest node and antinode in a stationary wave is

The figure shows a stationary wave between two fixed points $P$ and $Q$. Which point$(s)$ among $1, 2,$ and $3$ are in phase with point $X$?