Wave Practice Activities SOLUTIONS

# Wave Practice Activities SOLUTIONS - Name Date ID_Prof...

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1 Name __________________________ Date _____________ ID # _____________________Prof. Pascuzzi Physics 131 Standing Waves & Resonance of Sound Waves (SOLUTIONS) Resonant Standing Waves on a String For all standing waves on string, what important relationship exists between the resonant frequencies f of the string and the length L of the string? = where n = the number of antinodes (AN) from the resonant diagrams above. For each diagram, state the type of standing wave shown and write the equation for the resonant frequencies for each. Also write the number of nodes and antinodes. 1) Wave type = Fundamental or 1 st Harmonic # Nodes ( N ) = 2 # Antinodes ( AN ) = 1 1 Resonant frequency = 2) Wave type = 2 nd Harmonic or 1 st Overtone # Nodes ( N ) = 3 # Antinodes ( AN ) = 2 2 Resonant frequency = 3) Wave type = 3 rd Harmonic or 2 nd Overtone # Nodes ( N ) = 4 # Antinodes ( AN ) = 3 3 Resonant frequency = 4) Wave type = 4 th Harmonic or 3 rd Overtone # Nodes ( N ) = 5 # Antinodes ( AN ) = 4 3 Resonant frequency =

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2 Resonant Sound Waves in a Tube open at Both Ends; L L 1) 2) N N N AN AN AN AN AN One half wave shown Two half waves shown L 3) L 4) AN AN AN AN AN AN AN AN AN N N N N N N N Three half waves shown Four half waves shown For all resonant sound waves in a tube open at both ends (like a pipe organ), what important relationship exists between the resonant frequencies f of the sound and the length L of the tube? = where n = the number of nodes (N) from the resonant diagrams above. For each diagram, state the type of standing wave shown and write the equation for the resonant frequencies for each. Also write the number of nodes and antinodes. 1) Wave type = Fundamental or 1 st Harmonic # Nodes ( N ) = 1 # Antinodes ( AN ) = 2 2 Resonant frequency = 2) Wave type = 2 nd Harmonic or 1 st Overtone # Nodes ( N ) = 2 # Antinodes ( AN ) = 3 2 Resonant frequency = 3) Wave type = 3 rd Harmonic or 2 nd Overtone # Nodes ( N ) = 3 # Antinodes ( AN ) = 4 2 Resonant frequency = 4) Wave type = 4 th Harmonic or 3 rd Overtone # Nodes ( N ) = 4 # Antinodes ( AN ) = 5 2 Resonant frequency =
3 Resonant Sound Waves in a Tube open at only ONE End; L 1) 2) L AN N Three quarter N AN waves shown One quarter wave shown AN N L 3) L 4) N Five quarter waves shown N N N N N N AN AN AN AN AN AN AN Seven quarter waves shown For all resonant sound waves in a tube open at ONE ends, what important relationship exists between the resonant frequencies f of the sound and the length L of the tube? = where

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Wave Practice Activities SOLUTIONS - Name Date ID_Prof...

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