Concept explainers
The frequencies, which would sound the richest because of resonance.
Explanation of Solution
Given info: The dimension of the shower stall is
Expression for the fundamental or first harmonic frequency is,
Here,
Substitute
Expression for the third harmonic frequency is,
Substitute
Expression for the fifth harmonic frequency is,
Substitute
Expression for the seventh harmonic frequency is,
Substitute
Expression for the ninth harmonic frequency is,
Substitute
Expression for the eleventh harmonic frequency is,
Substitute
Similarly, for maximum resonance frequency,
Substitute
Simplify further,
For
Conclusion:
Therefore, the frequencies, which would sound the richest because of resonance, are
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Chapter 14 Solutions
Principles of Physics: A Calculus-Based Text
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- As you travel down the highway in your car, an ambulance approaches you from the rear at a high speed (Fig. OQ13.15) sounding its siren at a frequency of 500 Hz. Which statement is correct? (a) You hear a frequency less than 500 Hz. (b) You hear a frequency equal to 500 Hz. (c) You hear a frequency greater than 500 Hz. (d) You hear a frequency greater than 500 Hz, whereas the ambulance driver hears a frequency lower than 500 Hz. (e) You hear a frequency less than 500 Hz, whereas the ambulance driver hears a frequency of 500 Hz. Figure OQ13.15arrow_forwardThe bulk modulus of water is 2.2 109 Pa (Table 15.2). The density of water is 103 kg/m3 (Table 15.1). Find the speed of sound in water and compare your answer with the value given in Table 17.1.arrow_forwardA cable with a linear density of =0.2 kg/m is hung from telephone poles. The tension in the cable is 500.00 N. The distance between poles is 20 meters. The wind blows across the line, causing the cable resonate. A standing waves pattern is produced that has 4.5 wavelengths between the two poles. The air temperature is T=20C . What are the frequency and wavelength of the hum?arrow_forward
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