Question

which combination of frequencies would produce the lowest beat frequency? (1 point)
10 hz and 15 hz
500 hz and 600 hz
10 hz and 20 hz
500 hz and 501 hz

Explanation:

Step1: Recall beat frequency formula

The beat frequency \( f_b \) is given by the absolute difference of the two frequencies \( f_1 \) and \( f_2 \), i.e., \( f_b = |f_1 - f_2| \).

Step2: Calculate beat frequency for each option

• For 10 Hz and 15 Hz: \( |10 - 15| = 5 \) Hz.
• For 500 Hz and 600 Hz: \( |500 - 600| = 100 \) Hz.
• For 10 Hz and 20 Hz: \( |10 - 20| = 10 \) Hz.
• For 500 Hz and 501 Hz: \( |500 - 501| = 1 \) Hz.

Step3: Compare the beat frequencies

Among 5 Hz, 100 Hz, 10 Hz, and 1 Hz, the lowest is 1 Hz, which corresponds to the combination 500 Hz and 501 Hz.

Answer:

D. 500 Hz and 501 Hz (assuming the options are labeled A to D as: A. 10 Hz and 15 Hz, B. 500 Hz and 600 Hz, C. 10 Hz and 20 Hz, D. 500 Hz and 501 Hz)