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A man $x$ can hear only upto $10 kHz$ and another man $y$ upto $20 kHz$. A note of frequency $500 Hz$ is produced before them from a stretched string. Then
An engine is moving with uniform speed along a circular track emitting a sound of frequency $400\, Hz$ as shown in the figure. Speed of engine is $30\, m/sec$ and speed of sound is $330\, m/sec$. An observer is standing inside the track. Maximum frequency observed by the observer 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
A source of sound of frequency $90$ vibrations/ sec is approaching a stationary observer with a speed equal to $1/10$ the speed of sound. What will be the frequency heard by the observer .... $vibrations/sec$
The fundamental frequency of vibration of a string stretched between two rigid support is $50\,Hz$. The mass of the string is $18\,g$ and its linear mass density is $20\,g / m$. The speed of the transverse waves so produced in the string is $..........\,ms ^{-1}$
Two cars moving in opposite directions approach each other with speed of $22\, m s^{-1}$ and $16.5 \, m s^{-1}$ respectively. The driver of the first car blows a horn having a frequency $400 \,Hz.$ The frequency heard by the driver of the second car is ..... $Hz$ (velocity of sound is $340 \, m s^{-1}$)
A transverse progressive wave on a stretched string has a velocity of $10\,m{s^{ - 1}}$ and a frequency of $100 Hz.$ The phase difference between two particles of the string which are $2.5 cm$ apart will be
The extension in a string obeying Hooke's law is $x.$ The speed of sound in the stretched string is $v.$ If the extension in the string is increased to $1.5x$, the speed of sound will be
The wave described by $y=0.25 \,sin\left[ {10\pi x - 2\pi t} \right]$, where $x$ and $y$ are in meters and $t$ in seconds, is a wave travelling along the