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

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

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

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…

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

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

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

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

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.)