Question

Two electronic oscillators are making some sine waves, at frequencies f1 = 882 hz and f2 = 880 hz. at a certain point, the sound level from one alone would be sil 1 = 76 db, and from the other sil 2 = 82 db. how often do beats occur

Answer 1

As we know that when two sound sources of slightly different frequency sound together then we will have resultant sound intensity changes with time

this is known as Beats

in order to find the beat frequency we will use

`f_(beat) = f_1 - f_2`

here we know that

`f_1 = 882 Hz`

`f_2 = 880 Hz`

now here we know that from above formula

`f_(beat) = 882 - 880 = 2Hz`

now from this equation we can say that we will hear 2 beats per second

so time interval between two beats is given as

`T = (1)/(f_(beat))`

`T = (1)/(2) = 0.5 seconds`