Waves practice · Mixed difficulty

When a stationary wave is formed then its frequency 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

Pulse rate of a normal person is 75 per minute. The time period of heart is [in seconds]

If wave $y = a\,\,\cos \left( {\omega t + kx} \right)$ is moving along $x - axis$, the shape of pulse at $t = 0\,\,and\,\,t = 2\,s$

A tuning fork of frequency $200\mathrm{ }Hz$ is in unison with a sonometer wire. The number of beats heard per second when the tension is increased by $1\%$ is

Assertion: Due to end correction fundamental frequency of any pipe becomes less than frequency without end correction.
Reason: Due to end correction effective length of pipe increases.

Two points P and Q have a phase difference of $\pi$ when a travelling sine wave passes through the region.
Statement-I: P and Q move in opposite directions.
Statement-II: P oscillates at half the frequency of Q.

The mathematical form of three travelling waves are given by

$\begin{aligned} & y_1=(2 {~cm}) \sin (3 x-6 t), \\ & y_2=(3 {~cm}) \sin (4 x-12 t) \text {, } \\ & \text { and } y_3=(4 {~cm}) \sin (5 x-11 t) \\ \end{aligned}$

of these waves,

What is the phase difference between the displacement wave and pressure wave in a sound wave?

The equation of sound wave is
$y = 0.0015\,\,\sin \left( {62.4x\,\, + \,\,316\,t} \right)$
The wavelength of this wave is

The equation of a simple harmonic wave is given by $y = 6\,\,\sin \,\,2\pi \left( {2t - 0.1x} \right)$ where x and y are in mm and t is in seconds. The phase difference between two particles 2 mm apart at any instant is

A plane wave is described by the equation $y = 3\cos \left( {\frac{x}{4} - 10t - \frac{\pi }{2}} \right)$. The maximum velocity of the particles of the medium due to this wave is

Echo is based on which amongst the given phenomenon that sound wave follows?

When a tuning fork produces sound waves in air, which one of the following is same in the material of tuning fork as well as in air?

A sound wave of frequency $v$ propagating through air with a velocity $c$, is reflected from a surface which is moving away from the source with a constant speed $v$. the frequency of the reflected wave, measured by the observed at the position of the source, is

The fundamental note produced by a closed organ pipe is of frequency $f$. The fundamental note produced by an open organ pipe of same length will be of frequency

Doppler shift in frequency does not depend upon

The ratio of speed of source to the speed of sound is called

Beats are produced by two travelling waves each of loudness $I$ and nearly equal frequencies ${n_1}$ and ${n_2}$. The beat frequency will be and maximum loudness hard will be

Assertion: Where two vibrating tuning forks having frequencies $256 \mathrm{~Hz}$ and $512 \mathrm{~Hz}$ are held near each other, beats cannot be heard.
Reason: The principle of superposition is valid only if the frequencies of the oscillators are nearly equal.

Two air columns (of resonance tubes) $100 \mathrm{~cm}$ and $101 \mathrm{~cm}$ long give 17 beats in 20 seconds, when each is sounding its fundanental mode. Calculate the velocity of sound.

Frequency range of the audible sound is

A wave of frequency $500\,\,Hz$ has velocity $360\,\,m/sec$. The distance between two nearest points ${60^0}$ out of phase, is

Maximum number of beats frequency heard by a human being is

The fundamental frequency of a closed end organ pipe is $n$. Its length is doubled and radius is halved. Its frequency will be become nearly

A standing wave is maintained in a homogeneous string of cross-sectional area $s$ and density $\rho$. It is formed by the superposition of two waves travelling in opposite directions given by the equation $y_1=a \sin (\omega t-k x)$ and $y_2=2 a \sin (\omega t+k x)$. The total mechanical energy confined between the sections corresponding to the adjacent antinodes is

Calculate the fundumental frequency of a sonometer wire of length $=20 \mathrm{~cm}$ tension $25 \mathrm{~N}$, crosssectional aren $=10^{-2} \mathrm{~cm}^2$ and density of the material of wire $=10^4 \mathrm{~kg} \mathrm{~m}^{-3}$.

If waves are originating from point source, then amplitude $(A)$ at a distance $(r)$ from the source are related as

Assertion: For same length but different gas COP fundamental wavelength remain same.
Reason: Here length is same.

I. In a standing wave, energy is transmitted from one region of space to other.

II. In a standing wave, all the particles cross their mean position together.

Which of the above statement(s) is/are correct?