Waves practice · Mixed difficulty

A progressive wave $\mathrm{y = a}\,\mathrm{sin}\left[ {\left( {\mathrm{kx} - \mathrm{\omega t}} \right)} \right]$ is reflected by a rigid wall at $\mathrm{x} = 0$. Then the reflected wave can be represented by

A tuning fork of frequency $512 \mathrm{~Hz}$ is vibrated with a sonometer wire and 6 beats per second are heard. The beat frequency reduces if the tension in the string is slightly increased. The original frequency of vibration of the string is

The speed of sound in a gas of density $\rho$ at a pressure $P$ is proportional to

A sonometer wire of density $\rho$ and radius ${r}$ is held between two sharp edges at a distance ' $l$ '. The wire has a tension $\mathrm{T}$. The frequency of $p$th overtone will be

A tuning fork $A$ produces $4\,\,beats/\sec$ with another tuning fork $B$ of frequency $320\,\,Hz$. On filing the fork $A$, $4\,\,beats/\sec$ are again heard. The frequency of fork $A$, after filing is

If the distance between successive compressions and rarefraction in a sound wave is 2m and velocity of sound is 360 m/s, then the frequency is

The frequency of a tuning fork is 256. It will not resonate with a fork of frequency

The frequency of fundamental note in an organ pipe is $240\,\,Hz$. On blowing air, frequencies $720\,\,Hz$ and $1200\,\,Hz$ are heard. This indicates that organ pipe is

A transverse wave is represented by $y = A\sin \left( {\omega t - kx} \right)$. For what value of wavelength, the wave velocity is half of maximum particle velocity

5 beats/second are heard when a turning fork is sounded with a sonometer wire under tension, when the length of the sonometer wire is either 0.95 m or 1 m. The frequency of the fork will be :

The transverse displacement of string fixed at both ends is given by $y = 0.06\,\sin \left( {\frac{{2\pi x}}{3}} \right)\cos \left( {120\,\pi t} \right)$, where x and y are in metre and t is in second. The length of the string is 1.5m and its mass is $3 \times {10^{ - 2}}\,\,kg$ . The tension in the string is equal to

On which principle does sonometer works?

What is the base frequency if a pipe gives notes of frequencies 425, 255 and 595 and decide whether it is closed at one end or open at both ends

Ultrasonic waves are those waves

For a transverse wave travelling along a straight line, the distance between two peaks (crests) is 5 m, while the distance between one crest and one trough is 1.5 m. The possible wavelengths (in metre) of the waves are

Quality of a musical note depends on

Two Cu wires of radii ${\mathrm{R}_1}\,\,\mathrm{and}\,\,{\mathrm{R}_2}$ such that $\left( {{R_1} > {R_2}} \right)$. Then which of the following is true?

An observer standing by the side of a road hears the siren of an ambulance, which is moving away from him. If the actual frequency of the siren is $2,000 \mathrm{~Hz}$, then the frequency heard by the observer will be

The phase difference between current and voltage in an $\mathrm{AC}$ circuit is $\pi / 4$ radian. If the frequency of $\mathrm{AC}$ is $50 \mathrm{~Hz}$, then the phase difference is equivalent to the time difference :

Speed of sound in mercury at a certain temperature is 1450 m/s. Given the density of mercury as $13.6 \times {10^3}\frac{{kg}}{{{m^3}}}$, the bulk modulus for mercury is [ in $\frac{N}{{{m^3}}}$]

The equation of a wave travelling on a string is $y = 10\sin \left[ {\pi \left( {5t - \frac{x}{4}} \right)} \right]$, where x, y are in cm and t is in second. The velocity of wave is

Statement-I: An open organ pipe of certain length have the same fundamental frequency as closed organ pipe of half the length
Statement-II: In the case of open organ pipe, at both the ends antinodes are formed, while in the closed organ pipe at one end antinode and at the other end node is formed

In the equation $y=A \sin (k x-\omega t+\phi_0),$ the term phase is defined as

A resonance air column of length $20 \mathrm{~cm}$ resonates with a tuning fork of frequency $450 \mathrm{~Hz}$. Ignoring the correction, the velocity of sound in air will be

A string under a tension of $129.6 \mathrm{~N}$ produces 10 beats/s when it is vibrated along with a tuning fork. When the tension in the string is increased to $160 \mathrm{~N}$, it sounds in unision with the same tuning fork. Calculate the fundamental frequency of the tuning fork.

A stone hangs in air from one end of a wire which is stretched over a sonometer. The wire is in unison with a certain tuning fork when the bridges of the sonometer are $45 \mathrm{~cm}$ apart. Now the stone hangs immersed in water at $4^{\circ} \mathrm{C}$ and the distance between the bridges has to be altered by $9 \mathrm{~cm}$ to re-establish unison of the wire with the same fork. Calculate the density of the stone.

The harmonic which are present in a pipe open at one end are

The waves associated with the motion of microscopic particles such as electrons, protons, neutrons are called

Out of the given waves (1), (2), (3) and (4)
$y = a\sin \left( {kx + \omega t} \right)$ ...($1$)
$y = a\sin \left( {\omega t - kx} \right)$ …($2$)
$y = a\cos \left( {kx + \omega t} \right)$ …($3$)
$y = a\cos \left( {\omega t - kx} \right)$ …($4$)
Emitted by four different sources ${S_1},{S_2},{S_3}\,\,and\,\,{S_4}$ respectively, interference phenomena would be observed in space under appropriate conditions when

The musical interval between two tones of frequencies $320\,\,Hz$ and $240\,\,Hz$ is