An organ pipe open at both ends is 1.5 m long. A second organ pipe that is closed at one end and open at the other is 0.75 m long. The speed of sound in the room is 330 m/s. Which of the following sets of frequencies consists of frequencies which can be produced by both pipes? Select the correct answer.

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1. 110 Hz,330 Hz, 550 Hz

2. 220 Hz,330 Hz, 550 Hz

3. 330 Hz,440 Hz, 550 Hz

4. 110 Hz,330 Hz, 880 Hz

5. 330 Hz,880 Hz, 990 Hz

Two tuning forks with frequencies 257 and 263 Hz produce "beats". What is the beat frequency (in Hz)? Select the correct answer.

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1. 6

2. 0 (no beats are produced)

3. 4

4. 3

5. 1

Two instruments produce a beat frequency of 9 Hz. If one has a frequency of 239 Hz, what could be the frequency of the other instrument? Select the correct answer.

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1. 248 Hz

2. 9 Hz

3. 239 Hz

4. 257 Hz

5. 221 Hz

Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 8sin (0.25πx) cos(3πt) where x is in m and t is in s. What is the distance (in m) between the first two antinodes? Select the correct answer.

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1. 4

2. 0.2

3. 1

4. 3

5. 2

A vertical tube one meter long is open at the top. It is filled with 75 cm of water. If the velocity of sound is 344 m/s, what will the fundamental resonant frequency be (in Hz)? Select the correct answer.

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1. 344

2. 1.3

3. 3.5

4. 688

5. 172

Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 3sin(2x) cos9t where x is in m and t is in s. What is the wavelength of the interfering waves? Select the correct answer.

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1. 3.14 m

2. 6.28 m

3. 2.00 m

4. 5.00 m

5. 7.00 m

A length of organ pipe is closed at one end. If the speed of sound is 344 m/s, what length of pipe (in cm) is needed to obtain a fundamental frequency of 40 Hz? Select the correct answer.

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1. 215

2. 383

3. 258

4. 365

5. 134