Waves practice · Mixed difficulty

A standing wave is produced in a string fixed at both ends. In this case

If the amplitude ratio of two sources producing interference is 3 : 5, the ratio of intensities at maximum and minima is

Two waves having sinusoidal waveforms have different wavelengths and different amplitude. They will be having

A progressive wave of frequency $600 \mathrm{~Hz}$ is travelling with a velocity of $300 \mathrm{~m} / \mathrm{s}$. Distance between two points of medium having phase difference of $30^{\circ}$ will be nearly
(1) $0.021 \mathrm{~m}$

Assertion: Under given conditions of pressure and temperature, sound travels faster in a monoatomic gas than in diatomic gas.
Reason: Opposition for wave to travel is more in diatomic gas than monoatomic gas.

Ultrasonic waves are produced by

Ultrasonic waves of frequency $4.5 \mathrm{MHz}$ are used to detect tumour in soft tissues. The speed of sound in tissue is $1.5 \mathrm{~km} \mathrm{~s}^{-1}$ and that in air is $340 \mathrm{~ms}^{-1}$. Find the wavelength of this ultrasonic wave in air and in tissue.

The displacement $y$ of a wave travelling in the $x$ -direction is given by $y = {10^{ - 4}}\sin \left( {600\,t - 2x + \frac{\pi }{3}} \right)$ meters, where $x$ is expressed in meters and $t$ is second. The speed of the wave-motion, in $\mathrm{m}{\mathrm{s}^{ - 1}}$, is

Two tuning forks $A$ and $B$ vibrating simultaneously produce $5$ beats. Frequency of $B$ is $512$. It is seen that if one arm of $A$ is filled, then the number of beats increases. Frequency of $A$ will be

Speed of sound at constant temperature depends on

In the first overtone position of the resonance tube, the pressure anti-node is present at (L is the length of the tube) which positions from the closed end.

On the same path, the source and observer are moving in such a way that the distance between these two increases with the time. The speeds of source and observer are same and equal to $10 \mathrm{~ms}^{-1}$ with respect to the ground while no wind is blowing. The apparent frequency received by observer is $1950 \mathrm{~Hz}$, then the original frequency must be (Take, the speed of sound in present medium is $340 \mathrm{~ms}^{-1}$ )

Two tones of frequencies $\mathrm{n}_1$ and $\mathrm{n}_2$ are sounded together. The beats can be heard distinctly when

The harmonics which are present in a pipe, open at one end are

Statement-I: The Doppler effect can be observed in case of light and sound, but Doppler effect formula for light differs from that for sound.
Statement-II: Light does not require a material medium for its transmission whereas sound requires medium for its transmission.

The equation $y = a\,\,\sin 2\pi \left( {\frac{t}{T} - \frac{x}{\lambda }} \right)$, where the symbols carry the usual meaning and $a$, $T$ and λ$λ$ are positive, represents a wave of

A tuning fork of frequency $100 \mathrm{~Hz}$ when sound together with another tuning fork of unknown frequency produces 2 beats per second. On loading the tuning fork whose frequency is not known and sounded together with the same tuning fork produces one beat, then the frequency of the unknown tuning fork (in $\mathrm{Hz}$) is

Two persons $A$ and $B$, each carrying a source of frequency $300 \mathrm{~Hz}$, are standing a few metre apart. $A$ starts moving towards $B$ with velocity $30 \mathrm{~m} / \mathrm{s}$. If the speed of sound is $300 \mathrm{~m} / \mathrm{s}$, which of the following is true?

Assertion (A): When a travelling wave is sent along a particular string by oscillating one end, the speed of the wave will increase if we increase the frequency of oscillations.
Reason (R): If a travelling wave sent along a particular string by oscillating its one end, it is the wave length of the wave that decreases.

Assertion: If a wave pulse propagating on a string is reflected from free end then it is not inverted.
Reason: Transverse force is absent and medium is discontinuous at free end.

In stationary waves

Fundamental frequency of pipe is $100\,\,Hz$ and other two frequencies are $300\,\,Hz$ and $500\,\,Hz$, then

If sound wave travel from air to water, which of the following remain unchanged?

In the fundamental mode, time taken by the wave to reach the closed end of the air filled pipe is $0.01\,\,s$. the fundamental frequency is

The number of waves contained in unit length of the medium is called

The transverse displacement $y\left( {x,t} \right)$ of a wave on a string is given by $y\left( {x,t} \right) = {e^{ - \left( {a{x^2} + b{t^2} + 2\sqrt {ab} xt} \right)}}$ This represent a

Ten tuning forks are arranged in increasing order of frequency in such a way that any two nearest tuning forks produce $4$ beats ${\mathrm{s}^{ - 1}}$. The highest frequency is twice that of the lowest. Possible highest and lowest frequencies are

Among the following equations, which one represents the spherical progressive wave?

In the musical octave ‘Sa’, ‘Re’, ‘Ga’

The equation of a cylindrical progressive wave is