Standing Wave in String and Organ Pipe

Practice Questions:

Question 1: moderate

The fundamental frequency of a closed pipe is 220 Hz. If 1/4 of the pipe is filled with water, the frequency of the first overtone of the pipe now is

1. 220 Hz

2. 440 Hz

3. 880 Hz

4. 1760 Hz

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Question 2: moderate

An organ pipe P1 closed at one vibrating in its first overtone and another pipe P2 open at both ends vibrating in third overtone are in resonance with a given tuning fork. The ratio of the length of P1 to that of P2 is

1. 3/8

2. 8/3

3. 1/2

4. 1/3

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Question 3: moderate

A second harmonic has to be generated in a string of length l stretched between two rigid supports. The point where the string has to be plucked and touched are

1. Plucked at l/4 and touch at l/2

2. Plucked at l/4 and touch at 3l/4

3. Plucked at l/2 and touched at l/4

4. Plucked at l/2 and touched at 3l/4

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