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]