8. [1pt] The diagram shows the displacement envelope of a standing wave in a hor

Question

8. [1pt] The diagram shows the displacement envelope of a standing wave in a horizontal pipe in air, open at both ends. The length of the pipe is 39.0 cm. Are the air molecules moving horizontally or vertically?

Enter the answers to the following questions together.

What mode is this? (Enter m.)

What is the least distance (greater than zero) from the left end of the pipe where the molecules oscillate with maximum amplitude?

What is the least distance (greater than zero) from the left end of the pipe where the air pressure oscillates with maximum amplitude?

Explanation / Answer

L = 39 cm

(a) horizontally

second mode

at antinode , the molecules oscillate with maximum amplitude

the distance between two anti nodes = L/2 = 39/2 = 19.5 cm

at node, the air pressure oscillates with maximum amplitude.

x = L/4 = 39/4 = 9.75 cm

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