Waves practice · Mixed difficulty

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

If the frequency of sound produced by a siren increases from $400 \mathrm{~Hz}$ to $1200 \mathrm{~Hz}$ while the wave amplitude remains constant, the ratio of the intensity of the $1200 \mathrm{~Hz}$ to that of the $400 \mathrm{~Hz}$ wave will be

A wave represented by the given equation $y=a \cos (k x-\omega t)$ is superposed with another wave to form a stationary wave such that the point $x=0$ is a node. The equation for the other wave is

Assertion: On a rainy day sound travels slower than on a dry day.
Reason: When moisture is present in air the density of air increases.

Choose the correct statement from the following options.

What is the effect of increase in temperature on the frequency of sound produced by an organ pipe?

A set of 16 tuning forks are so arranged that each produce 4 beats with the previous one. If the frequency of last tuning fork is double that of first, the frequency of third tuning fork is

A Kundt's tube apparatus has a copper rod of length $1.0 \mathrm{~m}$ clamped at $25 \mathrm{~cm}$ from one of the ends. The tube contains air in which the speed of sound is $340 \mathrm{~m} / \mathrm{s}$. The powder collects in heaps separated by a distance of $5.0 \mathrm{~cm}$. Find the speed of sound waves in copper.

Statement-I: In transverse wave particle velocity is perpendicular to wave velocity.
Statement-II: In a longitudinal wave particle velocity is along the direction of propagation of wave.

A linearly polarised electromagnetic wave in vacuum is $E = 3.1\cos \,[(1.8)z - (5.4 \times {10^6})t]\,\,\widehat {\,i}\,\,N/C$ is incident
normally on a perfectly reflecting wall at $z = a$.
Choose the correct option.

Each of the two strings of length $51.6\,\,cm$ and $49.1\,\,cm$ are tensioned separately by $20\,\,N$ force. Mass per unit length of both the strings is same and equal to $1\,\,g/m$. When both the string vibrate simultaneously the number of beats is

A source oscillates with a frequency $25 \mathrm{~Hz}$ and the wave propagates with $300 \mathrm{~m} / \mathrm{s}$. Two points $A$ and $B$ are located at distances $10 \mathrm{~m}$ and $16 \mathrm{~m}$ away from the source. The phase difference between $A$ and $B$ is

Assertion (A): The fundamental frequency of an organ pipe decreases as the temperature increases.
Reason (R): As the temperature increases, the velocity of sound increases more rapidly than length of the pipe during expansion.

If ${L_1}$ and ${L_2}$ are the lengths of the first and second resonating air columns in a resonance tube, then the wavelength of the note produced is

Which two of the given transverse waves will give stationary waves when get superimposed
${z_1} = a\cos \left( {kx - \omega t} \right)$ …($A$)
${z_2} = a\cos \left( {kx + \omega t} \right)$ …($B$)
${z_3} = a\cos \left( {ky - \omega t} \right)$ …($C$)

To decrease the fundamental frequency of a stretched string fixed at both ends. Which of the following option is correct?

Two tuning forks of frequencies $512 \mathrm{~Hz}$ and $524 \mathrm{~Hz}$ respectively are vibrated simultaneously. The beat frequency heard will be-

Assertion (A) : Two waves $y_1=A \sin (\omega t+k x)$ and $y_2=A \cos (\omega t-k x)$ are superimposed, then $x=0$ becomes a node.

Reason (R) : At node net displacement due to two waves should be zero.

Assertion (A): When a transverse wave propagates along a string it transports energy in two forms : kinetic energy and potential energy.
Reason (R): A transverse pulse reflected from a fixed end gets inverted.