Waves practice · Mixed difficulty

For which of the following do the longitudinal waves exist?

Transverse waves can propagate in

The frequency of a note emitted by a source changes by 20% as it approaches an observer. As it recedes away him, the apparent frequency will differ from the actual frequency by

Which of the following properties of a wave does not change with a change in medium?

Two sources $A$ and $B$ are sounding notes of frequency $680 \mathrm{~Hz}$. A listener moves from $A$ to $B$ with a constant velocity $u$. If the speed of sound is $340 \mathrm{~ms}^{-1}$, what must be the value of $u$, so that he hears 10 beats per second?

Two sound waves travel in the same direction in a medium. The amplitude of each wave is $A$ and the phase difference between the two waves is $120^\circ$. The resultant amplitude will

A travelling wave reflected at an open boundary undergoes a phase change of

Statement-I: In stationary wave, all the particles of the medium between two nodes vibrate in same phase with same frequency but with different amplitude.
Statement-II: In stationary wave, every particle of the medium vibrates with its own energy and it does not share or transmit it to any other particle.

The equation of a spherical progressive wave is

A source of sound vibrates according to the equation $y = 0.5\,\,\cos \left( {\pi t} \right).$ If the wave velocity is $1.5\,\,\,{\text{m}}{{\text{s}}^{ - 1}},$ the wave length is

The reason for introducing Laplace correction in the expression for the velocity of sound in a gaseous medium is:

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

In a plane progressive wake given by $y = 25\cos \left[ {2\pi t - \pi x} \right]$, then amplitude and frequency are respectively

Assertion: The basic of Laplace correction was that, exchange of heat between the region of compression and rarefaction in air is not possible.
Reason: Air is a bad conductor of heat and velocity of sound in air is large.

Statement I Two longitudinal waves given by equation ${y_1}\left( {x,t} \right) = 2a\,\,\,\sin \left( {\omega t - kx} \right)$ and ${y_2}\left( {x,t} \right) = a\,\,\sin \left( {2\omega t - 2kx} \right)$ will have equal intensity.
Statement II Intensity of waves of given frequency in same medium is proportional to square of amplitude only

Tube A has both ends open while tube B has one end closed, otherwise. They are identical the ratio of fundamental frequency of tube A and B is

Fifth overtone of a closed pipe is found to be in unison with the third overtone of an open organ pipe. Find ratio of lengths of open organ pipe to that of closed organ pipe.

Beats are produced when two progressive waves of frequency $256\mathrm{ }\,Hz\mathrm{ }and\mathrm{ }260\mathrm{ }\,Hz$ superpose. Then the resultant amplitude changes periodically with frequency of

Assertion: In a string wave during reflection from fixed end, the reflected wave is inverted.
Reason: The force on string by clamp is in downward direction while string is pulling the clamp in upward direction.

Two identical sinusoidal waves travel in opposite direction in a wire $15 {~m}$ long and produce a standing wave in the wire. If the speed of the wave is $12 {~ms}^{-1}$ and there are 6 nodes in the standing wave. Find the frequency.

A stationary wave equation is given as $y=20 \sin (20 x) \cos (1000 t)$. What will be the speed of stationary wave?

Which of the following equation represents a transverse wave travelling along $Y$-axis?

A string wave equation is given by $y=0.002 \sin (300 t-15 x)$ and mass density is $\mu=0.1 \frac{\mathrm{kg}}{{m}}$ Then find the tension in the string.

Choose the correct statement

A plane longitudinal wave of angular frequency $1000 \,{rad} {s}^{-1}$ is travelling along negative $x$-direction in a homogeneous gaseous medium of density $\rho=1 {~kg} {~m}^{-3}$. Intensity of the wave is $I=10^{-10} {Wm}^{-2}$ and the maximum pressure change is $2 \times 10^{-4} {Nm}^{-2}$. Then, displacement equation is

Hospital uses an ultrasonic scanner to locate tumours in a tissue. Find the wavelength of sound in a tissue, in which the speed of sound is $1.7 {~km} {~s}^{-1}$ and the operating frequency of the scanner is 4.2 MHz

A string of length $1 \mathrm{~m}$ and linear mass density $0.01 \mathrm{~kg} / \mathrm{m}$ is stretched to a tension of $100 \mathrm{~N}$. When both ends of the string are fixed, the three lowest frequencies for standing wave are $f_1, f_2$ and $f_3$. When only one end of the string is fixed, the three lowest frequencies for standing wave are $n_1, n_2$ and $n_3$. Then,

$y = 3\,\,\,\sin \,\,\pi \left( {\frac{1}{2} - \frac{x}{4}} \right)$ Represents an equation of a progressive wave, where $t$ is in second an $x$ is in metre. The distance travelled by the wave in $5\mathrm{ }s$ is

The distance between two points differing in phase by $60^{\circ}$ on a wave having a wave velocity $360 \mathrm{~m} / \mathrm{s}$ and frequency $500 \mathrm{~Hz}$ is

On which principle does sonometer works?