Waves practice · Medium

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

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?

Statement-I: If all the particles of a string are oscillating in same phase, the string is resonating in its fundamental tone.
Statement-II: A sound wave is propagating through the medium, when the particle moves in the opposite direction to the propagation of the wave, it is in a region of rarefaction.

With reference to Doppler effect in sound ,when the listener is moving towards a stationary source, which of the following is true regarding frequency and wavelength of wave observed by the listener?

A train of sound waves is propagated along a wide pipe and it is reflected from an open end. If the amplitude of the waves is $0.002 \mathrm{~cm}$, the frequency is $1000 \mathrm{~Hz}$ and the wavelength is $40 \mathrm{~cm}$, the amplitude of vibration at a point $10 \mathrm{~cm}$ from open end inside the pipe will be

The velocity of sound is generally greater in solids than in gases because

What is the ratio of the frequency of fourth overtone to the fundamental frequency of a stretched string?

Assertion: Waves generated in a metal piece can be transverse or longitudinal.
Reason: Waves generated depend upon the method of creating waves in the metal.

A transverse wave propagating along $x$-axis is represented by $y(x, t)=8.0 \sin (0.5 \pi x-4 \pi t-\pi / 4)$ where $x$ is in metres and $t$ is in seconds. The speed of the wave is

A tuning fork produces 4 beats per second with another tuning fork of frequency $256 \mathrm{~Hz}$. The first one is now loaded with a little wax and the beat frequency is found to increase to 6 per second. What was the original frequency of the tuning fork?

Which of the following equations represents a wave travelling along $y$-axis

The mass of $1 {~mol}$ of air is $29 \times 10^{-3} {~kg}$, then the speed of sound (in ${m} / {s}$ ) in air at standard temperature and pressure is.....

In Laplace correction the propagation of sound wave in gas is an _____ process.

Standing waves are produced in $20 \mathrm{~m}$ long stretched string fixed at both ends. If the string vibrates in 10 segments and wave velocity is 20 $\mathrm{m} / \mathrm{s}$, then frequency of vibration is