Beats are produced by two waves given by $y_1 = a \sin(2000 \pi t)$ and $y_2 = a \sin(2008 \pi t)$. The number of beats heard per second is

What is a beat? Obtain the equation for the number of beats produced in unit time.

Two waves $y = 0.25 \sin(316t)$ and $y = 0.25 \sin(310t)$ are travelling in the same direction. The number of beats produced per second will be:

In a guitar,two strings $A$ and $B$ made of the same material are slightly out of tune and produce beats of frequency $6 \, Hz$. When the tension in $B$ is slightly decreased,the beat frequency increases to $7 \, Hz$. If the frequency of $A$ is $530 \, Hz$,the original frequency of $B$ will be $......... \, Hz$.

$A$ tuning fork sounded together with a tuning fork of frequency $256 \ Hz$ emits $2$ beats per second. On loading the tuning fork of frequency $256 \ Hz,$ the number of beats heard is $1$ per second. The frequency of the unknown tuning fork is: (in $Hz$)

$A$ source of sound gives five beats per second when sounded with another source of frequency $100 \, s^{-1}$. The second harmonic of the source together with a source of frequency $205 \, s^{-1}$ gives five beats per second. What is the frequency of the source in $s^{-1}$?