(a) Is the beat frequency produced when a 245-Hz tone and a 240-Hz tone are played together grea

Name: Problem 64, Chapter 14: Pearson Physics
Uploaded: 2023-03-04T15:43:38-08:00
Duration: 2 min 18 s
Channel: Prabhu Ramji

step 1 Hello guys in this problem we cover a concept of beat frequency. The beat frequency when the two

Question

(a) Is the beat frequency produced when a $245-\mathrm{Hz}$ tone and a $240-\mathrm{Hz}$ tone are played together greater than, less than, or equal to the beat frequency produced when a $140-\mathrm{Hz}$ tone and a $145-\mathrm{Hz}$ tone are played together? (b) Choose the best explanation from among the following: A. The beat frequency is determined by the difference between the frequencies and is independent of their actual values. B. The higher frequencies will produce a greater beat frequency. C. The percent change in frequency for $240 \mathrm{~Hz}$ and $245 \mathrm{~Hz}$ is less than for $140 \mathrm{~Hz}$ and $145 \mathrm{~Hz}$, resulting in a smaller beat frequency.

   (a) Is the beat frequency produced when a $245-\mathrm{Hz}$ tone and a $240-\mathrm{Hz}$ tone are played together greater than, less than, or equal to the beat frequency produced when a $140-\mathrm{Hz}$ tone and a $145-\mathrm{Hz}$ tone are played together? (b) Choose the best explanation from among the following:
A. The beat frequency is determined by the difference between the frequencies and is independent of their actual values.
B. The higher frequencies will produce a greater beat frequency.
C. The percent change in frequency for $240 \mathrm{~Hz}$ and $245 \mathrm{~Hz}$ is less than for $140 \mathrm{~Hz}$ and $145 \mathrm{~Hz}$, resulting in a smaller beat frequency.

Pearson Physics

James S. Walker 2013 Edition

Chapter 14, Problem 64

Instant Answer

Solved by Expert Prabhu Ramji

03/04/2023

Step 1

For the first pair (245 Hz and 240 Hz), the difference is 245 - 240 = 5 Hz. For the second pair (140 Hz and 145 Hz), the difference is 145 - 140 = 5 Hz. Show more…

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(a) Is the beat frequency produced when a $245-\mathrm{Hz}$ tone and a $240-\mathrm{Hz}$ tone are played together greater than, less than, or equal to the beat frequency produced when a $140-\mathrm{Hz}$ tone and a $145-\mathrm{Hz}$ tone are played together? (b) Choose the best explanation from among the following: A. The beat frequency is determined by the difference between the frequencies and is independent of their actual values. B. The higher frequencies will produce a greater beat frequency. C. The percent change in frequency for $240 \mathrm{~Hz}$ and $245 \mathrm{~Hz}$ is less than for $140 \mathrm{~Hz}$ and $145 \mathrm{~Hz}$, resulting in a smaller beat frequency.

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Key Concepts

Beat Frequency

Beat frequency is the phenomenon observed when two waves of nearly equal frequencies interfere with each other, resulting in a modulation or 'beating' effect. The rate at which the amplitude increases and decreases is given by the absolute difference between the two frequencies involved.

Frequency Difference Principle

This principle states that the beat frequency depends only on the difference between the frequencies of the two waves, regardless of their absolute values. This means that two pairs of tones with the same frequency difference will produce the same beat frequency, even if the individual frequencies are different.

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