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Lesson: Normal Vibrational Modes

Worksheet: Normal Vibrational Modes • 10 Questions

Q1:

An organ pipe of length 3.00 m is closed at both ends.

The speed of sound is 343 m/s.

Compute the wavelength of the first mode of resonance.

Compute the wavelength of the second mode of resonance.

Compute the wavelength of the third mode of resonance.

Compute the frequency of the first mode of resonance.

Compute the frequency of the second mode of resonance.

Compute the frequency of the third mode of resonance.

Q2:

A sound wave of a frequency of 2.00 kHz is produced by a string oscillating in the mode. The linear mass density of the string is 0.0065 kg/m and the length of the string is 1.50 m. What is the tension in the string?

Q3:

A string has a linear mass density , a length , a tension of , and oscillates in a mode . What is the frequency of the oscillations?

Q4:

A nylon guitar string is fixed between two lab posts 2.00 m apart. The string has a linear mass density of and is placed under a tension of 160.00 N. The string is placed next to a tube, open at both ends, of length . The string is plucked and the tube resonates at the mode. The speed of sound is 343 m/s. What is the length of the tube?

Q5:

A string with a length of 4.0 m is held under a constant tension. The string has a linear mass density of 0.0060 kg/m. Two resonant frequencies of the string are 400 Hz and 480 Hz. There are no resonant frequencies between the two frequencies.

What is the wavelength of 400 Hz mode?

What is the wavelength of the 480 Hz mode?

What is the tension in the string?

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