Standing Waves in String with Fixed Ends Quiz

What is the fundamental frequency of a standing wave with fixed ends?

• Always 440 Hz

• Has no relation to the length of the string

• Depends on the length of the string and the speed of the wave

• Depends on the tension of the string and the amplitude of the wave

How is the fundamental frequency related to the length of the string?

• The fundamental frequency is only related to the tension in the string.

• The fundamental frequency is directly proportional to the length of the string.

• The fundamental frequency is not affected by the length of the string.

• The fundamental frequency is inversely proportional to the length of the string.

Explain the concept of nodes and antinodes in standing waves.

• Nodes are points with minimum amplitude, while antinodes are points with maximum amplitude.

• Nodes are points with zero amplitude, while antinodes are points with maximum amplitude.

• Nodes and antinodes are the same thing.

• Nodes are points with maximum amplitude, while antinodes are points with zero amplitude.

How many nodes are there in a standing wave with 3 segments?

• 8

• 6

• 2

• 4

What is the relationship between the number of nodes and the wavelength of a standing wave?

• Inversely proportional

• Depends on the tension of the string

• No relationship

• Directly proportional

Calculate the wavelength of a standing wave with a frequency of 50 Hz and a speed of 340 m/s.

• 6.8 m

• 3.4 m

• 10.2 m

• 5.5 m

If the length of a string is 2m and the speed of the wave is 300 m/s, what is the frequency of the standing wave?

• 150 Hz

• 500 Hz

• 200 Hz

• 75 Hz

Determine the frequency of a standing wave with a wavelength of 0.6m and a speed of 360 m/s.

• 0.2 Hz

• 600 Hz

• 1200 Hz

• 0.1 Hz

Explain how to calculate the frequency of a standing wave in a string with fixed ends.

• f = (n/2L) / v

• f = (n/2L) + v

• f = (n/2L) * v

• f = (n/2L) - v