Sound Waves in Tubes

The video tutorial covers solving a free response question from the 2019 AP Physics 1 exam. It involves calculating the length of a tube open at both ends, graphing the maximum speed of air molecules, and determining the new fundamental frequency when the tube is closed at one end and placed in a different gas. The tutorial provides detailed explanations and calculations for each part, emphasizing the concepts of standing waves, displacement nodes, and antinodes.

What is the frequency of the tuning fork used in the problem setup?

• 1005 Hz

• 340 Hz

• 512 Hz

• 440 Hz

In a tube open at both ends, what is the relationship between the tube length and the wavelength at the fundamental frequency?

• The tube length is one-fourth the wavelength

• The tube length is half the wavelength

• The tube length is equal to the wavelength

• The tube length is twice the wavelength

What is the calculated length of the tube when the speed of sound is 340 m/s and the frequency is 512 Hz?

• 0.33 meters

• 0.25 meters

• 0.66 meters

• 1.32 meters

What does a displacement node in a standing wave pattern indicate?

• Maximum particle speed

• Minimum pressure

• No particle movement

• Maximum pressure

Where are the displacement antinodes located in a tube open at both ends?

• There are no antinodes

• Only at one end of the tube

• At both ends of the tube

• At the center of the tube

What is the shape of the graph for maximum particle speed in the tube?

• Concave up

• Linear

• Concave down

• Horizontal

What is the significance of the graph being vertically symmetrical about x = L/2?

• It shows equal particle speeds at both ends

• It indicates a node at the center

• It represents maximum speed at the center

• It shows no symmetry

When the tube is closed at one end, what fraction of the wavelength fits in the tube at the fundamental frequency?

• Three-fourths

• One-fourth

• Half

• Full

What is the new speed of sound in the gas when the tube is placed in a different environment?

• 1005 m/s

• 512 m/s

• 340 m/s

• 760 m/s

What is the new fundamental frequency of the tube when closed at one end and placed in a gas with a speed of sound of 1005 m/s?

• 1005 Hz

• 760 Hz

• 340 Hz

• 512 Hz