Question

Twin jet engines on an airplane are producing an average sound frequency of 4100 Hz with a beat frequency of 0.500 Hz. What are their individual frequencies?

a) 4100.25 Hz and 4099.75 Hz
b) 4100.50 Hz and 4099.50 Hz
c) 4101.00 Hz and 4099.00 Hz
d) 4100.75 Hz and 4099.25 Hz

Answer 1

The individual frequencies of the twin jet engines are 4100.25 Hz and 4099.75 Hz, as the beat frequency is the difference between the two sounds, which in this case is 0.500 Hz.

Step-by-step explanation:

The question pertains to the concept of beat frequency in physics, specifically within the context of wave interference from twin jet engines. The beat frequency is the difference between the frequencies of two waves and is given by the absolute value of their difference. In this case, the average frequency of the aircraft engines is 4100 Hz and the beat frequency is 0.500 Hz. To find the individual frequencies, one would be 4100 Hz plus half the beat frequency, and the other would be 4100 Hz minus half the beat frequency. This gives us two possible frequencies:

• 4100 Hz + 0.250 Hz = 4100.25 Hz
• 4100 Hz - 0.250 Hz = 4099.75 Hz

Therefore, the individual frequencies of the twin jet engines are 4100.25 Hz and 4099.75 Hz, making option (a) the correct answer.