Waves and Sound

Two wave pulses, one rectangular and other triangular, approach each other as shown in the figure below. They overlap at the point P at time $t$. The diagram best representing the appearance of the wave pulses at a time…

Consider the following four cylindrical tubes $(P, Q, R, S)$ all of equal radii. The tubes $Q$ and $R$ are of length $l$. The tubes $P$ and $S$ are of length 1.5 . If the fundamental frequencies are $\nu_P, \nu_Q,…

A slow steady stream of water is falling onto a tall cylindrical bucket. Let $f(t)$ denote the dominant frequency of the sound of the fall onto the horizontal water surface in the bucket. The possible time dependences…

A device having a transmitter and a receiver on-board is moving with speed $V$ between two walls as shown in the figure. The transmitter sends out signal of frequency $f_s$ and speed $C$ towards both the walls whereas…

A tuning fork is used to set up a wave in a pipe of length $L$ closed at one end (see figure). Then,

A point source generates sound at constant frequency $f_0$. An observer is moving at a constant speed along the line as shown in the figure and the nearest distance of approach is at time $t_0$. The frequency of sound…

The magnitude $R$ of an earthquake is related to the energy it releases by a logarithmic scale, $R=a \log _{10}\left(E / E_0\right)$, where $a$ and $E_0$ are positive constants. An earthquake of magnitude $R=6$ has 31…

A tube of length 0.5 m open at both ends has a small hole in the middle. Air is blown through this hole. If the speed of sound in air is $330 \mathrm{~m} \cdot \mathrm{~s}^{-1}$, the first three harmonics in Hz are

A resonating tube of length $l$, open at one end, is partially filled with water. When placed in gaseous medium-X, a water column of height $l / 5$ generates the third harmonic using a tuning fork with frequency $\nu$.…

An elastic wave generates a stress of magnitude $N$ while propagating in a wire. The relation between its frequency $\omega$ and the wavevector $k$ is given by $\omega=\omega_0 \sqrt{1-\cos k a}$, where $\omega_0$ iand…

A mass of 2 Kg hangs vertically from the end of a string of mass 0.4 Kg and length 2 m . The time, a transverse pulse will take to travel from bottom to top is close to,

A small source of sound is in uniform circular motion of radius $R$ and angular speed $\pi / 10 \mathrm{rad} \cdot \mathrm{s}^{-1}$. It emits continuous sound of fixed frequency $f_0$. A detector placed at a distance…