Two waves of wavelength $2 \ m$ and $2.02 \ m$ respectively,moving with the same velocity,superimpose to produce $2$ beats per second. The velocity of the waves is $... \ m/s$.

$A$ 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 .... $Hz$

$A$ tuning fork produces waves in a medium. If the temperature of the medium changes,then which of the following will change?

The speed of sound in a gas,in which two waves of wavelength $1.0\, m$ and $1.02\, m$ produce $6$ beats per second,is approximately .... $m/s$

$56$ tuning forks are arranged such that each fork produces $4$ beats per second with its previous one. If the frequency of the last fork is twice that of the first, the frequency of the $19^{\text{th}}$ fork is . . . . . . (in $\text{Hz}$)

$A$ wire having tension $225 \ N$ produces six beats per second when it vibrates with a tuning fork. When the tension changes to $256 \ N$,it vibrates with the same fork,and the number of beats per second remains unchanged. The frequency of the fork is: (in $Hz$)