Waves

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...

The intensity of a sound appears to an observer to be periodic. Which of the following can be the cause of it?

The velocity of sound in air at 20\(^\circ\)C and 1 atm pressure is 344.2 m/s. At 40\(^\circ\)C and 2 atm pressure, the velocity of sound in air is approximately

For air at room temperature, the atmospheric pressure is 1.0 \(\times\) 105 Nm\(-\)2 and density of air is 1.2 kgm\(-\)3. For a tube of length 1.0 m, closed at one end, the lowest frequency generated is 84 Hz. The value of \(\gamma\) (rat...

A car moving with a velocity of 36 km/hr crosses a siren of frequency 500 Hz. The apparent frequency of siren after passing it will be

Two turning forks of frequencies n1 and n2 produces n beats per second. If n2 and n are known, n1 may be given by

When sound is produced in an aeroplane with a velocity of 200 m/s horizontally its echo is heard after \(10\sqrt 5\) seconds. If velocity of sound in air is 300 ms\(-\)1 the elevation of aircraft is

Two stretched strings have lengths l and 2l while tensions are T and 4T respectively. If they are made of same material the ratio of their frequency is

A hollow cylinder with both sides open generates a frequency f in air. When the cylinder vertically immersed into water by half its length the frequency will be

The equation of a progressive wave can be given by \(y = 15\sin (660\pi t - 0.02\pi x)\) cm. The frequency of the wave is