Waves practice · Medium

A man is standing on the platform and one train is approaching and another train is going away with speed of $4\,\,m{s^{ - 1}}$, frequency of sound produced by train is $240\mathrm{ }Hz$. What will be the number of beats heard by him per second?

If the intensities of two interfering waves be $\mathrm{I}_1$ and $\mathrm{I}_2$, the contrast between maximum and minimum intensity is maximum, when

If $x=a \sin [\omega t+(\pi / 3)]$ and $x^{\prime}=a \cos \omega t$, then what is the phase difference between two waves?

Two sound waves are represented by $y = a\,\,\sin \left( {\omega t - kx} \right)$ and $y = a\,\,\cos \left( {\omega t - kx} \right)$. The wavelength of waves in water are

If the temperature increases, then what happens to the frequency of the sound produced by the organ pipe

Vibrations of air column above the surface of water in the tube of a resonance apparatus are

A wave travelling in positive $X$-direction with $A = 0.2\,m$ has a velocity of $360\,\,m/sec.$. If $\lambda = 60\,\,m,$, then correct expression for the wave is

A bullet passes past a person at a speed of $220 \mathrm{~m} / \mathrm{s}$. Find the fractional change in the frequency of the whistling sound heard by the person as the bullet crosses the person. Speed of sound in air $=330 \mathrm{~m} / \mathrm{s}$.

Of the following, the equation of plane progressive wave is

A radar sends radio waves of frequency $v$ towards an aeroplane moving with velocity $v_A$. A change $\Delta v$ is observed in the frequency of reflected wave which is higher than the original frequency. The velocity of aeroplane $\left(v_A < < c\right)$ is

A travelling wave is partly reflected and partly transmitted from a rigid boundary. Let $a_i, a_r$ and $a_t$ be the amplitudes of incident wave, reflected wave and transmitted wave and $I_i, I_r$ and $I_t$ be the corresponding intensities. Then, choose the correct alternative

The equation of a resultant wave obtained after superposition of two waves is given by $y(x, t)=2 a \sin k x \cos \omega t$. The position of nodes will be given by:

Assertion (A) : Standing waves are formed when amplitudes of two constituent waves are equal.

Reason (R) : At any point net displacement at a given time is resultant of displacement of constituent waves.

A wave travelling along a string is described by the equation $y = a\sin \left( {\omega t - kx} \right)$ the maximum particle velocity is

A sonometer wire resonates with frequency $\mathrm{f}_0$ in its fundamental mode. If length of the wire is decreased to the value $0.95 \mathrm{~m}$, the resonating frequency increases by $5 \mathrm{~Hz}$ and if length is increased to the value $1.0 \mathrm{~m}$, the resonating frequency decreases by $5 \mathrm{~Hz}$. Find the length (in $\mathrm{cm}$ ) of the wire for the resonating frequency $f_0$. The speed of the wave in the wire is $382.2 \mathrm{~m} / \mathrm{s}$.

Two similar sonometer wires given fundamental frequencies of $500\,\,Hz$. These have same tensions. By what amount the tension be increased in one wire so that the two wires produce $5\,\,beats/\sec$

When a sound wave travels from water to air, it

$A, B$ and $C$ are three tuning forks. Frequency of $A$ is $350 \mathrm{~Hz}$. Beats produced by $A$ and $B$ are $5 / \mathrm{s}$ and by $B$ and $C$ are $4 / \mathrm{s}$. When a wax is put on $A$ beat frequency between $A$ and $B$ is $2 \mathrm{~Hz}$ and between $A$ and $C$ is $6 \mathrm{~Hz}$. Then, frequency of $B$ and $C$ respectively, are

Sound waves in air always longitudinal because

In a stationary wave all the particles

There are two organ pipes of exactly the same length and material but of different radii. The loss of sound will be

When stationary waves are set up, pick out the correct statement from the following

Doppler effect of sound depends on

The equation of stationary wave along a stretched string is given by $y = 5\,\,\,\sin \frac{{\pi x}}{3}\cos \,\,40\pi t$ where $x$ and $y$ are in cm and $t$ in second. The separation between two adjacent nodes is

When a string fixed at its two ends vibrates in 1 loop, 2 loops, 3 loops and 4 loops, the frequencies are in the ratio

Assertion: Sound would travel faster on a hot summer day than on a cold winter day.
Reason: Velocity of sound is directly proportional to the square of absolute temperature.

A plane progressive wave is represented by the equation $y = 0.1\,\,\sin \left( {200\,\pi t - \frac{{20\,\pi x}}{{17}}} \right)$ where $y$ is displacement in $m,t$ in second and $x$ is distance from a fixed origin in meter. The frequency, wavelength and speed of the wave respectively are

Two waves are given by ${y_1} = a\,\,\sin \left( {\omega t - kx} \right)$ and ${y_2} = a\,\,\,\cos \left( {\omega t - kx} \right)$

The phase difference between the two waves is

The frequency of a sound wave is $n$ and its velocity is $v$. If the frequency is increased to $4n$, the velocity of the wave will be

The phase velocity $\left( {{v_p}} \right)$ of travelling wave is