Waves practice · Mixed difficulty

In the equation $y=A \sin (k x-\omega t+\phi_0),$ the term phase is defined as

Statement-I: Solids can support both longitudinal and transverse waves, but only longitudinal waves can propagate in gases.
Statement-II: Solid possess elasticity of length as well as shape, but gases possess only Bulk modulus.

Which one of the following statements is true-

If the lengths of the first and second resonating air columns are 16.5 cm and 51.5 cm with tuning fork of frequency 512 Hz. Calculate the velocity of sound in air

The string vibrates in 4 loops when a $50 \mathrm{~g}$ weight is placed in the pan of weight $15 \mathrm{~g}$. To make the string to vibrate in 6 loops the weight that has to be removed from the pan is

A stationary source emits a whistle at a frequency of $200 \mathrm{~Hz}$. If the velocity of propagation of sound is $340 \mathrm{~ms}^{-1}$, then the observed frequency, if the observer is moving away from the source at $25 \mathrm{~ms}^{-1}$, will be

Statement-I: An open organ pipe of certain length have the same fundamental frequency as closed organ pipe of half the length
Statement-II: In the case of open organ pipe, at both the ends antinodes are formed, while in the closed organ pipe at one end antinode and at the other end node is formed

When temperature is increased, the frequency of organ pipe

Sound waves of wavelength $\lambda$ travelling in a medium with a speed of $v \mathrm{~m} / \mathrm{s}$ enter into another medium where its speed is $2 v \mathrm{~m} / \mathrm{s}$. Wavelength of sound waves in the second medium is

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