Each of the two strings of length $51.6 \, cm$ and $49.1 \, cm$ are tensioned separately by $20 \, N$ force. The mass per unit length of both strings is the same and equal to $1 \, g/m$. When both strings vibrate simultaneously,the number of beats is:

The intensity of a sound appears to an observer to be periodic. Which of the following can be the cause of it?

Two identical piano wires,kept under the same tension $T$,have a fundamental frequency of $600\, Hz$. The fractional increase in the tension of one of the wires which will lead to the occurrence of $6\, beats/s$ when both the wires oscillate together would be:

Two tuning forks $A$ and $B$ are sounded together and produce $6$ beats per second. The frequency of tuning fork $B$ is $384 \,Hz$. When tuning fork $A$ is loaded with wax,the number of beats per second becomes $4$. What is the frequency of tuning fork $A$ in $Hz$?

$A$ tuning fork whose frequency as given by the manufacturer is $512 \ Hz$ is being tested with an accurate oscillator. It is found that the fork produces a beat of $2 \ Hz$ when the oscillator reads $514 \ Hz$,but produces a beat of $6 \ Hz$ when the oscillator reads $510 \ Hz$. The actual frequency of the fork is ..... $Hz$.

The wavelengths of two notes in air are $\frac{36}{195} \,m$ and $\frac{36}{193} \,m$. Each note produces $10$ beats per second separately with a third note of fixed frequency. The velocity of sound in air in $m/s$ is