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(a) Is the beat frequency produced when a 245-Hz tone and

Chapter 14, Problem 79P

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QUESTION:

Problem 79P

(a) Is the beat frequency produced when a 245-Hz tone and a 240-Hz tone are played together greater than, less than, or equal to the beat frequency produced when a 140-Hz tone and a 145-Hz tone are pîayed together? (b) Choose the best explanation from among the following:

I. The beat frequency is determined by the difference in frequencies and is independent of their actual values.

II. The higher frequencies will produce a higher beat frequency.

III. The percentage change in frequency for 240 and 245 Hz is less than for 140 and 145 Hz, resulting in a lower beat frequency.

Questions & Answers

QUESTION:

Problem 79P

(a) Is the beat frequency produced when a 245-Hz tone and a 240-Hz tone are played together greater than, less than, or equal to the beat frequency produced when a 140-Hz tone and a 145-Hz tone are pîayed together? (b) Choose the best explanation from among the following:

I. The beat frequency is determined by the difference in frequencies and is independent of their actual values.

II. The higher frequencies will produce a higher beat frequency.

III. The percentage change in frequency for 240 and 245 Hz is less than for 140 and 145 Hz, resulting in a lower beat frequency.

ANSWER:

Solution 79P

Step 1 of 2

Part a

When two waves having frequencies and interfere, the expression for beat frequency is given as,

The beat frequency of the tones 245 Hz and 240 Hz is ,

Hz

Hz

The beat frequency of the tones 140 Hz and 145 Hz is,

Hz

Hz

Therefore, both beat frequencies are equal.

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