The stationary wave produced on a string is represented by the equation $y = 5 \cos (\pi x / 3) \sin (40 \pi t)$. Where $x$ and $y$ are in $cm$ and $t$ is in seconds. The distance between consecutive nodes is .... $cm$.

Two identical progressive waves moving in opposite directions superimpose to produce a stationary wave. The wavelength of each progressive wave is $\lambda$. The wavelength of the stationary wave is

Two progressive waves $Y_{1} = \sin 2\pi(\frac{t}{0.4} - \frac{x}{4})$ and $Y_{2} = \sin 2\pi(\frac{t}{0.4} + \frac{x}{4})$ superpose to form a standing wave. $x, Y_{1}$ and $Y_{2}$ are in $SI$ units. The amplitude of the particle at $x = 0.5 \ m$ is: (Given: $\sin 45^{\circ} = \cos 45^{\circ} = \frac{1}{\sqrt{2}}$)

$A$ standing wave with a number of loops is produced on a string fixed at both ends. Which one of the following statements is correct?

The phase difference between the two particles situated on both the sides of a node in a stationary wave is ... $^o$.

In a stationary wave,all the particles: