The length of a sonometer wire tuned to a frequency of $250 Hz$ is $0.60$ metre. The frequency of tuning fork with which the vibrating wire will be in tune when the length is made $0.40$ metre is .... $Hz$
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A tuning fork $A$ of frequency $200 Hz$ is sounded with fork $B,$ the number of beats per second is $5.$ By putting some wax on $A,$ the number of beats increases to $8.$ The frequency of fork $B$ is .... $Hz$
An observer is riding on a bicycle and moving towards a hill at $18\,km\,h ^{-1}$. He hears a sound from a source at some distance behind him directly as well as after its reflection from the hill. If the original frequency of the sound as emitted by source is $640\,\,Hz$ and velocity of the sound in air is $320\,m / s$, the beat frequency between the two sounds heard by observer will be $...Hz$.
A source of sound $S$ of frequency $500 Hz$ situated between a stationary observer $O$ and a wall $W$, moves towards the wall with a speed of $2 m/s$. If the velocity of sound is $332 m/s$, then the number of beats per second heard by the observer is (approximately)
The length of a son meter wire $AB$ is $110\; cm$. Where should the two bridges be placed from $A$ to divide the wire in $3$ segments whose fundamental frequencies are in the ratio of $1:2:3$?
A metallic wire of length $L$ is fixed between two rigid supports. If the wire is cooled through a temperature difference $\Delta T$ ($Y$ = young’s modulus, $\rho$ = density, $\alpha$ = coefficient of linear expansion) then the frequency of transverse vibration is proportional to :
A source of sound of frequency $256 Hz$ is moving rapidly towards a wall with a velocity of $5m/s$. The speed of sound is $330 m/s.$ If the observer is between the wall and the source, then beats per second heard will be .... $Hz$
An organ pipe of length $L$ open at both ends is found to vibrate in its first harmonic when sounded with a tuning fork of $480\, Hz$. What should be the length of a pipe closed at one end, so that it also vibrates in its first harmonic with the same tuning fork ?
A $SONAR$ system fixed in a submarine operates at a frequency $40.0\; kHz$. An enemy submarine moves towards the $SONAR$ with a speed of $360 \;km h ^{-1}$. What is the frequency (in $Hz$) of sound reflected by the submarine? Take the speed of sound in water to be $1450\; m s ^{-1}$
The equation of a wave disturbance is given as : $y = 0.02 cos \left( {\frac{\pi }{2} + 50\pi t} \right) cos (10 x),$ where $x$ and $y$ are in meters and $t$ in seconds. Choose the wrong statement: