Waves practice · Medium

The equation of a simple harmonic wave is given by $y = 6\,\,\sin \,\,2\pi \left( {2t - 0.1x} \right)$ where x and y are in mm and t is in seconds. The phase difference between two particles 2 mm apart at any instant is

A plane wave is described by the equation $y = 3\cos \left( {\frac{x}{4} - 10t - \frac{\pi }{2}} \right)$. The maximum velocity of the particles of the medium due to this wave is

Echo is based on which amongst the given phenomenon that sound wave follows?

When a tuning fork produces sound waves in air, which one of the following is same in the material of tuning fork as well as in air?

A sound wave of frequency $v$ propagating through air with a velocity $c$, is reflected from a surface which is moving away from the source with a constant speed $v$. the frequency of the reflected wave, measured by the observed at the position of the source, is

The fundamental note produced by a closed organ pipe is of frequency $f$. The fundamental note produced by an open organ pipe of same length will be of frequency

Doppler shift in frequency does not depend upon

The ratio of speed of source to the speed of sound is called

Beats are produced by two travelling waves each of loudness $I$ and nearly equal frequencies ${n_1}$ and ${n_2}$. The beat frequency will be and maximum loudness hard will be

Assertion: Where two vibrating tuning forks having frequencies $256 \mathrm{~Hz}$ and $512 \mathrm{~Hz}$ are held near each other, beats cannot be heard.
Reason: The principle of superposition is valid only if the frequencies of the oscillators are nearly equal.

Two air columns (of resonance tubes) $100 \mathrm{~cm}$ and $101 \mathrm{~cm}$ long give 17 beats in 20 seconds, when each is sounding its fundanental mode. Calculate the velocity of sound.

Frequency range of the audible sound is

A wave of frequency $500\,\,Hz$ has velocity $360\,\,m/sec$. The distance between two nearest points ${60^0}$ out of phase, is

Maximum number of beats frequency heard by a human being is

The fundamental frequency of a closed end organ pipe is $n$. Its length is doubled and radius is halved. Its frequency will be become nearly

A standing wave is maintained in a homogeneous string of cross-sectional area $s$ and density $\rho$. It is formed by the superposition of two waves travelling in opposite directions given by the equation $y_1=a \sin (\omega t-k x)$ and $y_2=2 a \sin (\omega t+k x)$. The total mechanical energy confined between the sections corresponding to the adjacent antinodes is

Calculate the fundumental frequency of a sonometer wire of length $=20 \mathrm{~cm}$ tension $25 \mathrm{~N}$, crosssectional aren $=10^{-2} \mathrm{~cm}^2$ and density of the material of wire $=10^4 \mathrm{~kg} \mathrm{~m}^{-3}$.

If waves are originating from point source, then amplitude $(A)$ at a distance $(r)$ from the source are related as

Assertion: For same length but different gas COP fundamental wavelength remain same.
Reason: Here length is same.

I. In a standing wave, energy is transmitted from one region of space to other.

II. In a standing wave, all the particles cross their mean position together.

Which of the above statement(s) is/are correct?

A wave travelling in stretched string is described by the equation $y = \mathrm{Asin}\left( {kx - \omega t} \right)$.The maximum particle velocity is

If the tension and diameter of a sonometer wire having fun

A particle on a stretched string supporting a travelling wave, takes $5.0 \mathrm{~ms}$ to move from its mean position to the extreme position. The distance between two consecutive particles, which are at their mean positions, is $2.0 \mathrm{~cm}$. Find the frequency, the wavelength and the wave speed.

A plane sound wave passes from medium 1 into medium 2 . The speed of sound in medium 1 is $200 \mathrm{~m} / \mathrm{s}$ and in medium 2 is $100 \mathrm{~m} / \mathrm{s}$. The ratio of amplitude of the transmitted wave to that of incident wave is

A $20\,\,cm$ long string, having a mass of $1.0\,\,g$, is fixed at both the ends. The tension in the string is $0.5\,\,N$. the string is set into vibration using an external vibrator of frequency $100\,\,Hz$. Find the separation (in $cm$) between the successive nodes on the string

Assertion: When two vibrating tuning forks having frequencies 240 Hz and 300 Hz are held near each other, beats cannot be heard by us
Reason: This is because beats cannot be distinctly heard due to the property of persistence of hearing.

Assertion: Corresponding to a path difference $x$, the phase difference is $\frac{2 \pi}{\lambda} x$.
Reason: The phase difference between displacement and velocity of a particle executing SHM is $\pi$.

An open organ pipe has fundamental frequency $100\,\,Hz$. What frequency will be produced if its one end is closed?

When the temperature of an ideal gas is increased by $600\,\,K$, the velocity of sound in the gas becomes $\sqrt 3$ times the initial velocity in it. The initial temperature of the gas is

The minimum audible wavelength at room temperature is about