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In this lesson, we will learn how to calculate the modal numbers and the positions of nodes and antinodes in standing waves.

Q1:

A tuba, which is closed at one end, has a fundamental frequency of 26.0 Hz. What is the frequency of its third overtone?

Q2:

An organ pipe is closed at one end. The pipe has a fundamental frequency of 512 Hz when the air temperature is 2 5 . 0 ∘ C .

What is the length of the organ pipe?

What is the organ pipe’s fundamental frequency at a temperature of 1 8 . 0 ∘ C ?

Q3:

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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