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:

The frequency of a tuning fork is $384 \text{ Hz}$ and the velocity of sound in air is $352 \text{ m/s}$. How far has the sound traveled while the fork completes $36$ vibrations (in $\text{ m}$)?

Two sources of sound are emitting progressive waves $y_1 = 4 \sin(710 \pi t)$ and $y_2 = 3 \sin(702 \pi t)$. The sources are placed close to each other. The number of beats heard per second and the intensity ratio between waxing and waning are respectively:

Two tuning forks $A$ and $B$ produce notes of frequencies $256 \ Hz$ and $262 \ Hz$ respectively. An unknown note sounded at the same time as $A$ produces beats. When the same note is sounded with $B$,the beat frequency is twice as large. The unknown frequency could be ... $Hz$

$A$ tuning fork of known frequency $256\,Hz$ produces $5$ beats per second with the vibrating string of a piano. The beat frequency decreases to $2$ beats per second when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

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