Question

In which of the following is the wavelength of the lowest vibration mode the same as the length of the string or tube?

(a) A string.

(b) An open tube.

(c) A tube closed at one end.

(d) All of the above.

(e) None of the above.

Short answer

The correct option is (e).

Step-by-step solution

Understanding Wavelength

Wavelength can be defined as the distance between two successive crests or troughs of a wave.The crest is the highest point of the wave, whereas the trough is the lowest. Since wavelength is distance, it is measured in lengths such as meters, centimeters, millimeters, nanometers, and others.

Explanation

In a string or open tube, the lowest vibration mode is equal to half of a wavelength. In a tube closed at one end, the lowest vibration mode equals a quarter of a wavelength. Therefore, none of the listed objects have the lowest vibration mode equal to a wavelength.

Hence the correct option is (e).