The wavelengths of two waves are $50 \ cm$ and $51 \ cm$ respectively. If the temperature of the room is $20^{\circ}C$,what will be the number of beats produced per second by these waves,given that the speed of sound at $0^{\circ}C$ is $332 \ m/s$?

$A$ wire vibrates at a fundamental frequency of $500 \,Hz$. $A$ second identical wire produces $5$ beats per second with it when the tension in the first wire is slightly decreased. The ratio of the tension in the second wire to the tension in the first wire is approximately equal to

The minimum intensity of sound is zero at a point due to two sources of nearly equal frequencies, when

$A$ tuning fork $A$,marked $512 \ Hz$,produces $5$ beats per second when sounded with another unmarked tuning fork $B$. If $A$ is loaded with wax,the number of beats is again $5$ per second. What is the frequency of the tuning fork $B$ when not loaded (in $Hz$)?

$A$ source of frequency $\nu$ gives $5$ beats/second when sounded with a source of frequency $200 \;Hz$. The second harmonic of frequency $2\nu$ of the source gives $10$ beats/second when sounded with a source of frequency $420 \;Hz$. The value of $\nu$ is .... $Hz$.

If three sources of sound of frequencies $(n-1)$,$n$,and $(n+1)$ are vibrated together,the number of beats produced and heard per second respectively are