Question

Two guitars are playing together producing a beat frequency. The first guitar is playing at a frequency of 867 Hz and the beat is produced every 0.04 seconds. What are some possible frequencies the other guitar could be playing to make this beat?

A. 875 Hz or 860 Hz
B. 904 Hz or 830 Hz
C. 878 Hz or 856 Hz
D. 892 Hz or 842 Hz

Answer 1

The correct option is D. 892 Hz or 842 Hz

Step-by-step explanation:

The beat frequency refers to the rate at which the volume is heard to be oscillating from high to low volume.

It is found as the difference of the two frequencies.

If
`f_(1) and f_(2)` are the two frequencies ,then the beat frequency is

`f_(b)` =
`f_(1) - f_(2)` -------------(1)

Given ,
`f_(1) = 867 Hz`

Frequency =
`(1)/(time period)`

`f_(b)` =
`(1)/(0.04)`

`f_(b)` = 25 Hz

Substituting value of beat frequency in (1) ,

`f_(2)` = 867 +25 = 892 Hz

OR

`f_(b)` = 867 - 25 = 842 Hz

The correct option is D. 892 Hz or 842 Hz