Task 1: Wave characteristicsA standing transverse wave is formed in a string that is 5.0 m long. Both ends of the string arefixed. Eight loops are present in the standing wave. Answer the following questions about thewave. Make sure to show all work clearly.1. Draw the standing wave. Label one node and one antinode.2. Find the wavelength of the wave. Fully explain how you found the wavelength.3. If it takes a wave 0.60 s to travel the length of the string, find the speed of the wave.4. Find the frequency of the wave.Task 2: Speed of soundAsaad, a grade 11 student, completed a lab activity to find the speed of sound in air using aclosed-air column. He measured the temperature of the room to be 21 °C. Using a tuning forkwith a frequency of 1040 Hz, he obtained the following resonant lengths for the closed air column:Copyright © 2018 The Ontario Educational Communications Authority. All rights reserved. 2TVO SPH3U ILCObservations:L1= 7.4 cmL2= 22.5 cmL3 = 36.7 cmQuestions:a) Use the resonant lengths to do three calculations to find the wavelength. Find the averagewavelength and use that in further calculations.b) Using the wave equation, what is the speed of sound in the air column?c) What is the theoretical speed of sound in the room according to the temperature?Task 3: Application of the Doppler Effecta) Write a paragraph explaining what the Doppler Effect is and the different effects it hason the observed frequency when the source of the sound is moving toward an observer versus when it is moving away from an observer. Then, state two ways in which the DopplerEffect is applied to situations in everyday life. You will need to do independent research to findthe applications.b) A train on a straight track sounds a 400 Hz horn when passing a parked car onthe road. The train is moving at 20 m/s and the temperature is 10°C. Find theapparent frequency of the horn for a person sitting inside the car when the trainis approaching and when the train is moving away.Task 4: Reflection of Sound WavesA boat is floating at rest in dense fog near a large cliff. The captain sounds ahorn at water level and the sound travels through the salt water (1470 m/s) andthe air (340 m/s) simultaneously. The echo in the water (due to the cliff) takes 0.40 s to return.How much additional time will it take for the echo in the air to return?
Task 1: Wave characteristics
A standing transverse wave is formed in a string that is 5.0 m long. Both ends of the string are
fixed. Eight loops are present in the standing wave. Answer the following questions about the
wave. Make sure to show all work clearly.
1. Draw the standing wave. Label one node and one antinode.
2. Find the wavelength of the wave. Fully explain how you found the wavelength.
3. If it takes a wave 0.60 s to travel the length of the string, find the speed of the wave.
4. Find the frequency of the wave.
Task 2: Speed of sound
Asaad, a grade 11 student, completed a lab activity to find the speed of sound in air using a
closed-air column. He measured the temperature of the room to be 21 °C. Using a tuning fork
with a frequency of 1040 Hz, he obtained the following resonant lengths for the closed air column:
Copyright © 2018 The Ontario Educational Communications Authority. All rights reserved. 2
TVO SPH3U ILC
Observations:
L1
= 7.4 cm
L2
= 22.5 cm
L3 = 36.7 cm
Questions:
a) Use the resonant lengths to do three calculations to find the wavelength. Find the average
wavelength and use that in further calculations.
b) Using the wave equation, what is the speed of sound in the air column?
c) What is the theoretical speed of sound in the room according to the temperature?
Task 3: Application of the Doppler Effect
a) Write a paragraph explaining what the Doppler Effect is and the different effects it has
on the observed frequency when the source of the sound is moving toward an observer versus when it is moving away from an observer. Then, state two ways in which the Doppler
Effect is applied to situations in everyday life. You will need to do independent research to find
the applications.
b) A train on a straight track sounds a 400 Hz horn when passing a parked car on
the road. The train is moving at 20 m/s and the temperature is 10°C. Find the
apparent frequency of the horn for a person sitting inside the car when the train
is approaching and when the train is moving away.
Task 4: Reflection of Sound Waves
A boat is floating at rest in dense fog near a large cliff. The captain sounds a
horn at water level and the sound travels through the salt water (1470 m/s) and
the air (340 m/s) simultaneously. The echo in the water (due to the cliff) takes 0.40 s to return.
How much additional time will it take for the echo in the air to return?
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