Waves PYQs - Last 5 Years

The equation of a transverse wave is $y=y_0 \sin 2 \pi\left(f t-\frac{x}{\lambda}\right)$ ．If the maximum particle velocity be four times that of wave velocity then

The equation of a stationary wave along a stretched string is given by $y=5 \sin \frac{\pi x}{3} \cos 40 \pi t$.

Here $x$ and $y$ are in cm and $t$ in second. The separation between two adjacent nodes is

A wave disturbance in a medium is described by $y(x, t)=0.02 \cos \left(50 \pi t+\frac{\pi}{2}\right) \cos (10 \pi x)$ where $x, y$ are in meters and $t$ is in second. Which statement(s) is/are correct?

Longitudinal waves cannot

The displacement of a plane progressive wave in a medium, travelling towards positive x-axis with velocity 4 m/s at t = 0 is given by \(y = 3\sin 2\pi \left( { - {x \over 3}} \right)\). Then the expression for the displacement at a later ti...