How Is This Standing Wave Possible?

The video explores standing wave patterns on a string, focusing on the unexpected occurrence of a standing wave at 22 hertz, despite previous lessons indicating it was not possible. The instructor explains that this anomaly is due to the left end of the string not being a true node, allowing for non-integer multiples of half wavelengths. The video includes calculations of the wave's wavelength and speed, confirming the hypothesis. The lesson concludes with a discussion on different wave patterns in various instruments and a preview of future lessons.

What frequencies were initially thought to support standing waves on the string?

• 15, 30, and 45 hertz

• 5, 25, and 50 hertz

• 10, 20, and 30 hertz

• 22, 44, and 66 hertz

Why are standing waves typically only possible at certain frequencies?

• Because the string is too long

• Due to the presence of antinodes

• Because the string is too short

• Due to the presence of nodes and total destructive interference

What is the significance of the left end of the string in the 22 hertz pattern?

• It is a fixed point

• It is an antinode

• It is not a true node, allowing for non-integer multiples of half wavelengths

• It is a perfect node

How many nodes are present in the 22 hertz standing wave pattern?

• Four

• Three

• Two

• One

What is the calculated speed of the wave at 22 hertz?

• 24 meters per second

• 28 meters per second

• 26 meters per second

• 22 meters per second

What allows the 22 hertz standing wave pattern to exist on the string?

• Both ends are antinodes

• Both ends are nodes

• The string is very short

• One end is not quite a node

What future topics are hinted at in the conclusion?

• The physics of sound waves

• Different types of wave patterns in instruments

• The history of wave theory

• The mathematics of wave equations