12.5 +12.6 Harmonics + Stationary Waves in Air Columns

Question 1

what is the first harmonic?

Answer 1

lowest frequency sound that can be produced on a string

1st harmonic= 1 antinode

Question 2

what is the second harmonic?

Answer 2

2nd harmoic =2 anti nodes

Question 3

what is the third harmonic?

Answer 3

3rd harmonic= 3 antinodes

Question 4

Complete the table

Answer 4

Question 5

How do waves form in closed air pipes?

Answer 5

• pipe is open at one end–> antinode formed
• closed at one end—> node formed

only odd harmonics of the fundamentalfrequnecy can form

Question 6

How are waves formed in open air pipes?

Answer 6

• anti node at both sides
• each harmonic is a multiple of the fundamnetal frequency (f0, 2f0, 3f0)

Question 7

what variables dictate the fundamental frequency (f0) of the stationary wave?

Answer 7

• density of air
• temperature of air

as they dictate the speed of the wave

Question 8

draw the harmonics formed in closed air pipes (longitudinal waves )

Answer 8

Question 9

Harmonics MCQ

Answer 9

B

Question 10

what is the phase difference of points on stationary waves?

Answer 10

for stationary waves can only be inphase or outphase (going up on going down)

Question 11

Stationary wave MCQ

Answer 11

Question 12

Harmonics, fundamental frequency MCQ

Answer 12

Question 13

Answer 13

Reflection of progressive wave at the fixed ends (X), superposition of these waves gives rise to the stationary wave

Question 14

Answer 14

Question 15

Answer 15

Question 16

Answer 16