4.5 Standing Waves

Which one of the following options is always true regarding the energy transferred along a standing wave and its amplitude?

An open pipe has sound waves sent through it causing it to have a standing wave of the third harmonic occurring within it. What is the nature of oscillations at the centre of the pipe (point X) and at its edge (point Y)?

The fundamental frequency for a pipe which is closed at one end, but open at the other, is 380 Hz. What is the frequency of its third harmonic?

An open pipe has both ends clear and has a standing wave formed within it. Which of the following statements is always true for this standing wave?

A wave of a certain frequency is setup on a string with two fixed ends which act as nodes

If the frequency is doubled, but nothing else is changed, how many nodes will be on the string?

Organs such as those found in churches often have many different kinds of pipes with both open and closed ends. For a single pipe that has a specific length, what is the ratio of the fundamental frequency with both ends open to the fundamental frequency with one end closed?

A pipe with a single closed end has a standing wave set up within it. If the length of the pipe is 2 m, which value below is closest to the wavelength of the seventh harmonic?

A standing sound wave is set up in an open pipe (both ends open) and the frequency of the first harmonic is 400 Hz. What is the approximate length of this pipe? (Assume the speed of sound is 343 m/s).

A pipe of length L is open at one end and closed at the other end of the pipe. What is the frequency of the fifth harmonic? (Assume the speed of sound in air is 343 m s^–1).