Waves practice · Medium

A transverse wave propagating on a stretched string of liner density $3 \times {10^{ - 4}}\mathrm{kg} - {\mathrm{m}^{ - 1}}$ is represented by the equation $y = 0.2\sin \left( {1.5x + 60t} \right)$ where $x$ is in meter and $t$ is in second. The tension in the string (in newton) is

Assertion(A): Speed of sound in $\mathrm{O}_2$ gas at temperature $T$ is $v$. If temperature is increased to $2 T$, the molecular oxygen breaks into atomic oxygen. Then, speed of sound under these conditions will become $2 v$.

Reason(R): With increase in humidity in air, speed of sound increases.

When sound wave is refracted from air to water, which of the following will remain unchanged?

Assertion: The velocity of sound in air decreases if the pressure of air decreases at constant temperature.
Reason: According to Laplace's formula as modified by Newton, velocity of sound in air is given by $V = \sqrt {\frac{{\gamma P}}{\rho }}.$

Given that $y = A\sin \left[ {\left( {\frac{{2\pi }}{\lambda }\left( {ct - x} \right)} \right)} \right]$, where $y$ and $x$ are measured in metres. Which of the following statements is true

Sound waves are travelling in a medium whose adiabatic elasticity is $E$ and isothermal elasticity $E^{\prime}$. The velocity of sound waves is proportional to:

The speed of sound in gas of density $ρ$ at a pressure $p$ is proportional to

In open organ pipe, if fundamental frequency is $n$ then the other frequencies are

If we study the vibration of a pipe open at both ends, then which of the following statements is not true ?

Intensity level of sound of intensity $I$ is $30\,\,dB$. The ratio $\frac{I}{{{I_0}}}$ is (Where ${I_0}$ is the threshold of hearing)

Two trains, one coming towards and another going away from an observer both at $4\,\,m/s$ produce whistle simultaneously of frequency $300\,\,Hz$. Find the number of beats produced

Assertion: Standing wave does not transfer energy in the medium.
Reason: Every particle vibrates with its own energy and it does not share its energy with any other Particle.

The wave function of a pulse is given by $y=\frac{3}{(2 x+3 t)^2}$ where $x$ and $y$ are in metre and $t$ is in second.

i) Identify the direction of propagation.

ii) Determine the wave velocity of the pulse.

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

A fork of frequency $340 \mathrm{~Hz}$ is allowed to vibrate just above the open of resonance tube of length $120 \mathrm{~cm}$. If velocity of sound $=340 \mathrm{~m} / \mathrm{s}$. Find (a) maximum number of resonance (b) maximum and minimum liquid level at resonance condition.

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?

Doppler phenomena is related with

Statement-I: When a wave is transmitted from one medium to another, the frequency does not change.
Statement-II: A wave transports energy and momentum along with matter.

A tuning fork produces waves in a medium. If the temperature of the medium changes, then which of the following will change

A tuning fork vibrating with a sonometer having $20\,\,cm$ wire produces $5$ beats per second. The beat frequency does not change if the length of the wire is changed to $21\,\,cm$. The frequency of the tuning fork (in Hertz) must be

The type of waves that can be propagated through solid is

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

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