Waves and Sound

A transverse wave is described by the equation $y = A \sin 2\pi\left(nt - \dfrac{x}{10}\right)$. The ratio of maximum particle velocity to wave velocity is

Three waves of equal frequency having amplitudes $13\ \mu\text{m}$, $6\ \mu\text{m}$, $5\ \mu\text{m}$ arrive at a given point with successive phase difference of $\pi/2$. The amplitude of the resultant wave is (in…

The tension in a piano wire is increased by $25\ \%$. Its frequency becomes "$nf$", where f is the original frequency, then, the value of n is nearly

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

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 speed of the transverse wave on the stretched string under tension $T_1$ is $v_1$. If the tension in the string is increased by $T_1$, the speed of the transverse wave is $v_2$. If $\mu$ is the linear density of the…

Two sources of sound placed closed to each other, are emitting progressive waves given by $y_1 = 4\sin(600\pi t)$ and $y_2 = 5\sin(608\pi t)$. An observer located near these two sources of sound will hear

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

Three tuning forks A, B and C have respective frequencies $n_1$, $n_2$ and $n_3$ related as $n_1 = 1.04\, n_2$ and $n_3 = 0.99\, n_2$. When A and C are sounded together 5 beats are heard per second. The frequencies of…

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\…

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

For the given wave equation $y = 10\cos\pi\left(\dfrac{x}{4} + \dfrac{t}{2}\right)$, the CORRECT statement is (where x is in metre and time t is in second.)