A guitar string produces 4 beats/second when sounded with
a250Hz tuning fork and 9 beats/second when sounded with a 255
Hztuning fork. What is the vibrational frequency?

Respuesta :

Answer:

In first case vibrational frequency will be 246 Hz and 254 Hz

In second case vibrational frequency will be 264 Hz and 246 Hz

Explanation:

We have given a guitar produces 4 beats per second when sounded with 250 Hz and produce 9 beats per second when sounded with 255 Hz

Expression of beat frequency is [tex]beat\ frequency=\left | f_1-f_2 \right |[/tex]

Here [tex]f_1[/tex] is vibrational frequency

So [tex]4=\left | f_1-250 \right |[/tex]

[tex]f_1-250=\pm 4[/tex]

[tex]f_1=254,246Hz[/tex]

For second case

[tex]9=\left | f_1-255 \right |[/tex]

[tex]f_1-250=\pm 9[/tex]

[tex]f_1=264,246Hz[/tex]