CUNY Lehman College Normal Modes with Frequencies Physics Questions

Question Description

1. A complex standing wave on a string fixed at both ends is composed of normal modes with frequencies 18 Hz, 36 Hz and 54 Hz.

a) What is the repeat frequency?

b) If the fundamental frequency is 9 Hz, what is the symmetry of the complex standing wave?

2. a) What is the decibel level of a sound that is 1 x 10^-12 W/m²?

b) What is the decibel level of a sound that is 0.5 W/m²?

c) What is the decibel level of a sound that is 5.4 x 10^-8 W/m²?

3. Sound A is 142 dB. Sound B is 95 dB.

a) Which sound has a higher intensity?

b) How many times more intense is your answer in Part A compared to the other sound?

4.What information does the amplitude of a sound wave give you about the wave? What information does the frequency of a sound wave give you about the wave? If you increase the period of a wave, what happens to its pitch? if you increase the amplitude of a sound wave, what happens to its energy?

5.A wave completes 7 cycles in a second. If it has a wavelength of 4 ft, what is its velocity?

6. Two sounds of 42dB and 47 dB combine to produce a louder sound. What is the intensity of the new sound in dB?

7.You want to figure out the resonant frequencies of an empty bottle. You hit a series of tuning forks near the opening of the bottle and measure the intensity of the sound that the bottle produces. You know that the maximum intensity the bottle can produce is 0.03 W/m². Tuning fork A of frequency 3 Hz makes the bottle vibrate with intensity 0.025 W/m², tuning fork B of frequency 4 Hz makes the bottle vibrate with an intensity of 0.03 W/m² and tuning fork C of frequency 6 Hz makes the bottle vibrate with an intensity 0.03 W/m². What are some of the resonant frequencies of the bottle?

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