Waves

Which of the following is common to both transverse and longitudinal waves?

A disturbance that occurs only once and lasts for a short duration is called a:

Which wave property depends only on the source and not on the medium?

What type of wave is an 'X-ray'?

In a string, the transverse wave speed is $v$. If the string is replaced by another string of the same material but twice the diameter, the new speed under the same tension is:

The time period of a wave is $0.02$ s. Its frequency is:

If a wave is given by $y = A \sin(kx + \omega t)$, the wave is traveling in which direction?

A pipe of length $L_1$ closed at one end and a pipe of length $L_2$ open at both ends are vibrating in their fundamental modes. If they produce 2 beats per second and $L_1 = 25 \text{ cm}, L_2 = 51 \text{ cm}$, the velocity of sound in air is approximately:

A transverse wave is traveling on a string. The equation of the wave is $y = 0.1 \sin(30t - 2x)$. The maximum acceleration of a particle on the string is:

In a stationary wave, the distance between a node and the next antinode is $10 \text{ cm}$. If the frequency is $50 \text{ Hz}$, the velocity of the component traveling waves is:

A particle in a transverse wave moves in a direction that is:

What is the value of the wave number $k$ if the wavelength is $0.5\text{ m}$?

The phase of a particle at a distance $x$ from the origin at time $t$ for a wave $y = a \sin(kx - \omega t)$ is:

In the SI system, what is the unit of displacement $y$ in a wave?

For a progressive wave $y = A \sin(kx - \omega t)$, which of the following is true regarding the speed of the wave?

Given $y = A \sin(kx - \omega t)$, the displacement $y$ at $x = \lambda/4$ and $t = T/4$ is:

A wave traveling in a medium is $y = 0.1 \sin(2\pi t - 10\pi x)$. What is the phase difference between two points separated by $0.05 \text{ m}$?

A wave $y = A \sin(kx - \omega t)$ moves in the positive x-direction. At $t=0$, the particle at $x=0$ is at the origin and moving downwards. The equation should be modified to:

If $y = y_0 \sin[2\pi(ft - x/\lambda)]$, the maximum particle velocity is $v_{pm} = \pi f y_0$. Is this statement correct?

The frequency of a wave is $500\text{ Hz}$ and its velocity is $350\text{ m/s}$. The distance between two points having a phase difference of $60^{\circ}$ is:

In a stationary wave, the distance between an antinode and its nearest node is $5$ cm. The wavelength is:

If $y_1 = a \sin(\omega t - kx)$ and $y_2 = a \sin(\omega t + kx + \pi)$, the resulting stationary wave will have a node at:

The number of nodes in a string vibrating in its $4^{th}$ harmonic is:

Which of the following does NOT change when a wave is reflected from a surface?

In a stationary wave, the points of minimum displacement are called:

Two waves $y_1 = A \sin(\omega t - kx)$ and $y_2 = A \sin(\omega t + kx)$ interfere. The resulting stationary wave has a node at $x = 0$ if:

The fundamental frequency of a closed pipe is $n$. The frequency of the $k^{th}$ overtone is:

A pipe closed at one end has length $L$. The pressure variation at a distance $x$ from the closed end for the $n^{\text{th}}$ overtone is proportional to:

A string of length $L$ is fixed at one end and free at the other. If the tension is $T$ and linear mass density is $\mu$, the frequency of the $k^{\text{th}}$ overtone is:

Which of the following properties of a wave does NOT change when it is reflected from a stationary rigid boundary?

What is the number of times sound intensity becomes maximum in 5 seconds if the source frequencies are $440\text{ Hz}$ and $442\text{ Hz}$?

If the period of the first wave is $0.1\text{ s}$ and the second wave is $0.125\text{ s}$, the beat frequency is:

The phenomenon of beats is most easily observed when the amplitudes of the two waves are:

A tuning fork of frequency $500\text{ Hz}$ is sounded with an unknown fork and 4 beats/sec are heard. On loading the unknown fork with wax, the beats increase to 6 per second. The unknown frequency is:

Calculate the frequency of beats produced by the interference of $y_1 = 0.05 \sin(100\pi t)$ and $y_2 = 0.05 \sin(104\pi t)$.

The string of a guitar produces $4$ beats per second with a tuning fork of frequency $440\text{ Hz}$. When the string is tightened slightly, the beat frequency decreases to $2$ per second. The original frequency of the guitar string was:

A fork $A$ of frequency $512\text{ Hz}$ produces $5$ beats per second with fork $B$. When $B$ is loaded with wax, the beat frequency remains $5$. What is the frequency of $B$?

The string of a violin emits a note of $440$ Hz at $20^{\circ}$C. If the temperature rises to $30^{\circ}$C, find the number of beats heard against a $440$ Hz fork. Assume the linear expansion of the string is negligible and only the change in tension due to elasticity matters (coefficient of tension change is $-0.001/^{\circ}$C).

An observer is between two stationary sources of sound. Source $1$ has frequency $600$ Hz and Source $2$ has frequency $604$ Hz. The observer moves towards Source $2$ with a speed of $2$ m/s. If the velocity of sound is $340$ m/s, the beat frequency heard by the observer is:

Two strings of same length and same material have radii $r$ and $2r$. They are subjected to the same tension. If the thinner wire vibrates at $400$ Hz, the number of beats produced when they vibrate in fundamental mode is:

If the frequency of a tuning fork is $256 \text{ Hz}$, the time period of its vibration is:

Which of these gases would sound travel fastest in (at the same temperature)?

Newton's formula for the speed of sound in air gives a value of approximately:

The speed of sound in a solid is $v = \sqrt{\frac{Y}{\rho}}$. If density increases four times (assuming $Y$ is constant), the speed $v$:

If the tension of a string is increased by $2\%$, the speed of the transverse wave will increase by approximately:

At what temperature will the speed of sound in hydrogen be the same as the speed of sound in oxygen at $100^\circ\text{C}$?

The speed of sound in air is $330\text{ m/s}$. If the frequency of a sound wave is $660\text{ Hz}$, the phase difference between two points $0.25\text{ m}$ apart is:

The frequency of a sound wave is $n$ and its velocity is $v$. If the frequency is increased to $4n$, the velocity of the wave will be:

The ratio of velocities of sound in Hydrogen and Helium at the same temperature is:

A wave is travelling in a medium of density $2 \text{ kg/m}^3$ and Bulk modulus $8 \times 10^4 \text{ N/m}^2$. The velocity of the wave is:

Beats are a result of interference in:

At a distance of $\lambda/4$ from a node, we always find a/an:

The frequency of the first overtone of an open organ pipe is how many times the fundamental frequency?

The frequency of the first overtone of a closed organ pipe is how many times the fundamental frequency?

Two identical transverse pulses, one with positive displacement and the other with negative displacement (inverted), travel toward each other on a stretched string. At the specific instant they perfectly overlap, the string appears perfectly flat with zero displacement everywhere. Which statement correctly describes the energy of the string at this moment?

Three coherent waves of the same frequency and amplitude $A$ arrive at a point $P$ with successive phase differences of $\frac{\pi}{3}$ ($60^\circ$). According to the principle of superposition, what is the magnitude of the resultant amplitude at point $P$?

For a stationary wave $y = 2A \sin(kx) \cos(\omega t)$, the amplitude of the individual component waves is:

A wave $y = 0.5 \sin(\frac{2\pi}{\lambda}(vt - x))$ is reflected from a rigid wall at $x=0$. If the amplitude of the reflected wave is $80\%$ of the incident amplitude, the equation of the reflected wave is:

If the tension of a sonometer wire is increased by $21\%$, the fundamental frequency increases by:

In a longitudinal wave, the distance between a compression and the adjacent rarefaction is: