165k views
2 votes
You hear a beats with frequency 5 hz, which results from the superposition of two signals, where one signal has frequency 90 hz. which of the following statements is true? question 2 options:

a. the second signal could have a frequency of 95 hz
b. the second signal could have a frequency of 85 hz
c. the second signal could have a frequency of 100 hz
d. two of the statements are correct

User GRB
by
8.6k points

1 Answer

4 votes

Final answer:

The second signal could have a frequency of either 95 Hz or 85 Hz, because both would result in a beat frequency of 5 Hz when combined with a 90 Hz signal. Therefore, two statements A and B are correct.

Step-by-step explanation:

When you hear beats with a frequency of 5 Hz resulting from the superposition of two signals, one with a frequency of 90 Hz, the second signal could have frequencies that are either above or below the first by the beat frequency. In this case, the possibilities for the second signal's frequency are either:

  • 95 Hz (90 Hz + 5 Hz)
  • 85 Hz (90 Hz - 5 Hz)

Both options A and B are true. Option C, suggesting a second signal of 100 Hz, would result in a beat frequency of 10 Hz, which is not correct. Therefore, the answer to the question is that two of the statements are correct: The second signal could have a frequency of 95 Hz or 85 Hz, creating a beat frequency of 5 Hz when superimposed with the signal of 90 Hz.

User Ashlyn
by
7.3k points