If the equation of transverse wave is $y = 5\sin 2\pi \left[ {\frac{t}{{0.04}} - \frac{x}{{40}}} \right]$, where distance is in $ cm$ and time in second, then the wavelength of the wave is .... $cm$
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An organ pipe open at one end is vibrating in first overtone and is in resonance with another pipe open at both ends and vibrating in third harmonic. The ratio of length of two pipes is
$Assertion :$ The pitch of wind instruments rises and that of string instruments falls as an orchestra warms up.
$Reason :$ When temperature rises, speed of sound increases but speed of wave in a string fixed at both ends decreases.
A standing wave $y = A sin \left( {\frac{{20}}{3}\pi \,x} \right) cos (1000\pi t)$ is maintained in a taut string where y and $x$ are expressed in meters. The distance between the successive points oscillating with the amplitude $A/2$ across a node is equal to ... $cm$
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 and an observer move away from each other with a velocity of $10\; m/s$ with respect to ground. If the observer finds the frequency of sound coming from the source as $1950 \;Hz$, then actual frequency of the source is .... $Hz$ (velocity of sound in air = $340\; m/s$)
A train has just complicated a $U-$curve in a track which is a semicircle. The engine is at the forward end of the semi circular part of the track while the last carriage is at the rear end of the semicircular track. The driver blows a whistle of frequency $200 Hz.$ Velocity of sound is $340 m/sec$. Then the apparent frequency as observed by a passenger in the middle of a train when the speed of the train is $30 m/sec$ is ... $Hz$
A motor car blowing a horn of frequency $124\,vib/sec$ moves with a velocity $72\, km/hr$ towards a tall wall. The frequency of the reflected sound heard by the driver will be .... $vib/sec$ (velocity of sound in air is $330\, m/s$)