Which combination of frequencies would produce the lowest beat frequency?(1 point)
Responses
500 Hz and 600 Hz
500 Hz and 600 Hz
10 Hz and 20 Hz
10 Hz and 20 Hz
500 Hz and 501 Hz
500 Hz and 501 Hz
10 Hz and 15 Hz
10 Hz and 15 Hz
To determine the combination of frequencies that would produce the lowest beat frequency, we need to find the pair of frequencies with the smallest difference between them.
Out of the given options, the combination of 500 Hz and 501 Hz has the smallest difference between frequencies, which is 1 Hz. Therefore, the correct answer is:
500 Hz and 501 Hz.
To determine which combination of frequencies would produce the lowest beat frequency, we need to understand the concept of beat frequency. Beat frequency occurs when two frequencies of slightly different values are played together. It is the difference between the frequencies that determines the beat frequency.
Beat frequency (f beat) is given by the absolute value of the difference between the two frequencies (f1 and f2):
f beat = | f1 - f2 |
Let's calculate the beat frequencies for each combination of frequencies:
1) 500 Hz and 600 Hz:
f beat = |500 Hz - 600 Hz| = 100 Hz
2) 10 Hz and 20 Hz:
f beat = |10 Hz - 20 Hz| = 10 Hz
3) 500 Hz and 501 Hz:
f beat = |500 Hz - 501 Hz| = 1 Hz
4) 10 Hz and 15 Hz:
f beat = |10 Hz - 15 Hz| = 5 Hz
From the calculations, we can see that the combination of 500 Hz and 501 Hz would produce the lowest beat frequency, which is only 1 Hz.