Waves and Sound

A boy stands $x\ \text{m}$ away from a high wall and claps his hands at a steady rate so that each clap coincides with the echo of the one before. If he makes $60$ claps in $2$ minutes and the velocity of sound is $340\…

A pipe closed at end vibrating in the fourth overtone is in unison with the open pipe vibrating in its fourth overtone. The ratio of $l_c : l_o$ is {$l_c$ = vibrating length of closed pipe, $l_o$ = vibrating length of…

A tuning fork produces $6$ beats per second with both, $60\ \text{cm}$ and $40\ \text{cm}$ of the stretched wire of sonometer. The frequency of fork is

A source of sound vibrating at frequency $500\ \text{Hz}$ is rotated in a circle of radius $\dfrac{100}{\pi}\ \text{cm}$ at a constant angular speed of $5$ revolutions per second. A listener is in the plane of the…

An object of specific gravity $\rho$ is hung from a thin steel wire. The fundamental frequency for the transverse stationary waves is 300 Hz. The object is immersed in water, so that one half of its volume is submerged.…

Two copper wires of radii $r_1$ and $r_2$ ($r_1 > r_2$) are subjected to same tension and are plucked. Tansverse waves set up will

In the context of the Doppler effect in sound, which statement is true regarding the wave speed in the medium?

If two waves $y_1 = A\sin(\omega t - 0.1x)$ and $y_2 = A\sin\left(\omega t - 0.1x - \dfrac{\phi}{2}\right)$ are superimposed on each other, then the resultant amplitude due to superposition of waves is

The source is emitting sound of frequency 'n'. A source and a listener both are moving towards each other with a speed equal to $\left(\dfrac{V}{3}\right)$, where V is the speed of sound. The frequency heard by the…

The density of oxygen is 16 times that of hydrogen. The ratio of the velocity of sound in oxygen to that in hydrogen is

The walls of the hall built for music concerts should

The displacement of a wave is given by $y = 0.004\sin(200t - 2x)$, in SI units. This wave represents a wave