Waves practice · Mixed difficulty

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

Learned Indian classical vocalists do not like the accompaniment of a harmonium because

Sound travels in rocks in the form of:

The equation of a plane progressive wave is

$\mathrm{y}=0.09 \sin 8 \pi\left(\mathrm{t}-\frac{\mathrm{x}}{20}\right)$

When it is reflected at rigid supports, its amplitude becomes (2/3)rd of its previous value. The equation of the reflected wave is :

Sound waves in air always longitudinal because

To raise the pitch of a stringed musical instrument the player can

A standing wave is formed by the superposition of two waves travelling in opposite directions. The transverse displacement is given by $y\left( {x,t} \right) = 0.5\sin \left( {\frac{{5\pi }}{4}x} \right)\cos \left( {200\pi t} \right)$. What is the speed of the travelling wave moving in the positive x direction?

The length of the wire between two ends of
a sonometer is 100 cm. What should be
the positions of two bridges below the wire
so that the three segments of the wire
have their fundamental frequencies in the
ratio 1 : 3 : 5

The equation of the propagating wave is $y = 25\,\,\,\sin \left( {20t + 5x} \right)$ where $y$ is displacement. Which of the following statements is not true

A transverse wave is represented by $y=2 \sin (\omega t-k x) \mathrm{cm}$. The value of wavelength (in $\mathrm{cm}$ ) for which the wave velocity becomes equal to the maximum particle velocity, will be

A tuning fork of frequency $480\,\,Hz$ produces $\mathrm{10}{\mkern 1mu} {\mkern 1mu} \,\,\mathrm{beats}\,\,\mathrm{per}\,\,\mathrm{sec}$ when sounded with a vibrating sonometer string. What must have been the frequency of string if slight increase in tension produces few beats ${\mathrm{s}^{ - 1}}$ than before?

What is your observation when two sources are emitting sound with frequency $499 \mathrm{~Hz}$ and $501 \mathrm{~Hz}$?

The displacement $y$ of a particle is given by $y = 4\,\,{\cos ^{ 2}}\left( {\frac{t}{2}} \right)\,\,\sin \left( {1000t} \right)$. This expression may be considered to be a result of the superposition of how many simple harmonic motions?

Frequency range of the audible sound is

The transverse displacement $y\left( {x,t} \right)$ of a wave on a string is given by $y\left( {x,t} \right) = {e^{ - \left( {a{x^2} + b{t^2} + 2\sqrt {ab} xt} \right)}}$ This represent a

Two wires of different densities but same area of cross section are soldered together at one end and are stretched to a tension $T$. The velocity of a transverse wave in the first wire is double of that in the second wire. Find the ratio of the density of the first wire to that of the second wire.

In a transverse progressive wave of amplitude A, the maximum particle velocity is four times its wave velocity. The wavelength of the wave is:-

When a sound wave of wavelength $\lambda$ is propagating in a medium, the maximum velocity of the particle is equal to the velocity. The amplitude of wave is

If the temperature is raised by $1\mathrm{ }K$ from $300\mathrm{ }K$ the percentage change in the speed of sound in the gaseous mixture is $\left( {R = 8.31\mathrm{ }J/mol - K} \right)$

The equation of a simple harmonic progressive wave is given by $y = A\,\,sin(100 - 3x)$. find the distance between $2$ particles having a phase difference of $\frac{\pi }{3}$.

A sonometer is set on the floor of a lift. When the lift is at rest, the sonometer wire vibrates with fundamental frequency 256 Hz. When the lift goes up with acceleration $a = \frac{{9g}}{{16}}$ vibration of the same wire changes to

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x-direction in 0.3 sec. The crest $P$ is at $x=0$ at $t=0 \mathrm{~sec}$ and maximum displacement of the wave is 2 cm. Which equation correctly represents this wave?

Two waves travelling in a medium in the x-direction are represented by , ${y_1} = A\sin \left( {\alpha t - \beta x} \right)$ and ${y_2} = A\cos \left( {\beta x + \alpha t - \pi /4} \right)$ where ${y_1}\;\,\,and\,\,\mathrm{ }{y_2}$ are the displacements of the particles of the medium, t is time, and  $\alpha \,and\,\beta$ are constants. The two waves have different

Which two of the given transverse waves will give stationary waves when get superimposed
${z_1} = a\cos \left( {kx - \omega t} \right)$ …($A$)
${z_2} = a\cos \left( {kx + \omega t} \right)$ …($B$)
${z_3} = a\cos \left( {ky - \omega t} \right)$ …($C$)

The engineer of a train blows the train whistle as he approaches a crossing. A few moments later he hears a echo from the whistle. The engineer hears the echo of the whistle because of:

A uniform string of length 12m and mass 6kg hangs from a rigid support. A block of mass 2 kg is attached to the free end. A transverse pulse of wavelength 0.06 m is produced at the lower end of the rope. What is the wavelength of pulse when it reaches to top of string?

Two monochromatic coherent light beams A and B have intensities $I$ and $\frac{I}{4}$ respectively. If these waves are superposed, the maximum and minimum intensities will be

Law of superposition is applicable to

The following phenomenon cannot be observed for sound waves

A heavy rope is suspended from rigid support A wave pulse is set up at the lower end. Then