Question 1 :
769Hz longitudinal wave in air has a speed of 344m/s. At a particular instant, what is the phase difference (in degrees) between two points 5.0 cm apart?<br>
Question 2 :
A simple harmonic progressive wave is represented by the equation : $ y = 8 \sin 2 \pi \left (0.1x - 2t \right )$ where x and y are in cm and t is in seconds. At any instant the phase difference between two particles separated by 2.0 cm in the x-direction is <b>[MP PMT 2000]</b>
Question 3 :
The frequency of sound waves is 11 kHz and its wavelength is 20 cm, then the velocity of sound waves is :<br/>
Question 4 :
Two particles are executing simple harmonic motion of the same amplitude $A$ and frequency $\omega$ along the $x-axis.$ Their mean position is separated by distance $X_0(X_0 > A)$. If the maximum separation between them is $(X_0 + A ),$ the phase difference between their motion is :-
Question 5 :
With the increase in temperature, the nodal distance of the sound wave from an organ pipe:
Question 6 :
If the frequency of a wave is increased by 25 %, then the change in its wavelength will be:<br/>(medium not changed)<br/>
Question 7 :
In a ripple tank when one pulse is sent every tenth of a second , the distance between consecutive pulses is $30 mm$. In the same depth of water pulses are produced at half second intervals. What is the new distance between consecutive pulses ?
Question 8 :
An ultrasonic scanner is used in a hospital to detect tumours in tissue. The working frequency of the scanner is 4.2 mega Hz. The velocity of sound in the tissue is $1.7 kms^{-1}$. The wavelength of sound in the tissue is nearest to
Question 9 :
The phase difference between two points separated by 0.8 m in a wave of frequency 120 Hz is $90^{0}$. Then the velocity of wave will be
Question 10 :
The equation of the progressive wave, where t is the time in second, x is the distance in metre is $y =A cos 240\Bigg(t - \dfrac{x}{12}\Bigg)$. The phase difference (in SI units) between two positions$ 0.5 m$ apart is
Question 11 :
Two points on a travelling wave having frequency $500 Hz$ and velocity $300{ m }/{ s }$ are ${ 60 }^{ o }$ out of phase, then the minimum distance between the two points is
Question 12 :
The time needed for two complete cycles of vibration is called time period
Question 13 :
A string is producing transverse vibration whose equation is $y=0.021\sin { \left( x+30t \right) } $, where $x$ and $y$ are in metre and $t$ is in second. If the linear density of the string is $1.3\times { 10 }^{ -4 }kg/m$, then tension in string in newton will be
Question 14 :
Assertion: The intensity of a plane progressive wave does not change with change in distance from the source.
Reason: The wavefronts associated with a plane progressive wave are planar.
Question 15 :
The speed of sound in a certain medium is $960\ m/s$. If $3600$ waves pass over a certain point in $1$ minute, the wavelength is:
Question 16 :
A wire of length $\ell$ having tension $T$ and radius $r$ vibrates with natural frequency $f$. Another wire of same metal with length $2l$ having tension $2T$ and radius $2r$ will vibrate with natural frequency of : 
Question 17 :
The wave function of a pulse is given by $y=\cfrac{5}{{(4x+6t)}^{2}}$ where $x$ and $y$ are in meter and $t$ is in second, then determine the wave velocity of the pulse.
Question 18 :
Velocity of sound waves in air is $330$ ${m/s}$. For a particle sound wave in air, a path difference of $40$ $cm$ is equivalent to phase difference of $1.6\pi$. The frequency of this wave is
Question 19 :
A wave is represented by the equation y = (0.001) sin [2x+50t] where is x in meter t is sec and y in mm.
Question 20 :
A transverse progressive wave on a stretched string has a velocity of $10ms^{-1}$ and frequency of $100Hz$. The phase difference between two particles of the string which nbare $2.5cm$ apart will be :
Question 21 :
The frequency of a man's voice is 300 Hz and its wavelength is 1 meter. If the wavelength of a child's voice is 1.5 m, then the frequency of the child's voice is :<br>
Question 22 :
Equations of a stationary wave and a travelling wave are ${ y }_{ 1 } = a\ sinkx\ cos \omega t$ and ${ y }_{ 2 } = a\ sin (\omega t - kx)$. The phase difference between two points ${ x }_{ 1 }\ =\ \dfrac { \pi }{ 3k } \ and\ { x }_{ 2 }\ =\ \dfrac { 3\pi }{ 2k } \ is\ { \phi }_{ 1 }$ for the first wave and ${ \phi }_{ 2 }$ for the second wave. The ratio $\dfrac { { \phi }_{ 1 } }{ { \phi }_{ 2 } }$ is :
Question 23 :
The wave function $\displaystyle y=\frac{2}{(x-3t)^{2}+1}$ is a solution to a linear wave equation, x and y are in cm. Find its speed<br/>
Question 24 :
Find the size of object which can be featured with $5\space MHz$ in water.
Question 25 :
The equation of a progressive wave are $Y=\sin{\left[200\pi\left(t-\cfrac{x}{330}\right)\right]}$, where $x$ is in meter and f is second. The frequency and velocity of wave are
Question 26 :
The frequency of fork is 512 Hz and the sound produced by it travels 42 metres as the tuning fork completes 64 vibrations. Find the velocity of sound :<br/>
Question 27 :
A transverse wave travels along the Z-axis. The particles of the medium must move
Question 28 :
A wave of frequency 500 Hz has a phase velocity of 360 m/s. The phase difference between the two displacements at a certain point in a time interval of 10$^{-3}$ seconds will be how much?
Question 29 :
Two identical piano wires kept under the same tension T have a fundamental frequency of 600{tex} \mathrm { Hz } {/tex} . The fractional increase in the tension of one of the wires which will lead to occurrence of 6 beats/s when both the wires oscillate together would be
