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AP Physics 2 : Waves

Study concepts, example questions & explanations for AP Physics 2

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6 Diagnostic Tests 149 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Doppler Effect

A motorcycle is receding at $15\frac{m}{s}$ . Normally, the exhaust note has frequency 105Hz . Determine the perceived frequency if the speed of sound is $340.9\frac{m}{s}$ .

Possible Answers:

$f_{observed}=120Hz$

$f_{observed}=100.6Hz$

$f_{observed}=95.5Hz$

None of these

$f_{observed}=93.1Hz$

Correct answer:

$f_{observed}=100.6Hz$

Explanation:

Use the Doppler effect equation for receding sources:

$f_{observed}=\frac{v}{v+v_{source}}f_{source}$

Where is the speed of sound in the current medium

Plug in values:

$f_{observed}=\frac{340.9}{340.9+15}105$

$f_{observed}=100.6Hz$

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Example Question #6 : Doppler Effect

A train is receding at $15\frac{m}{s}$ with it's horn on. Normally, the horn has frequency 350Hz . Determine the perceived frequency if the speed of sound is $340.9\frac{m}{s}$ .

Possible Answers:

$f_{observed}=390Hz$

None of these

$f_{observed}=410Hz$

$f_{observed}=490Hz$

$f_{observed}=335Hz$

Correct answer:

$f_{observed}=335Hz$

Explanation:

Use the Doppler effect equation for receding sources:

$f_{observed}=\frac{v}{v+v_{source}}f_{source}$

Where is the speed of sound in the current medium

Plug in values:

$f_{observed}=\frac{340.9}{340.9+15}350$

$f_{observed}=335Hz$

Report an Error

Example Question #1 : Doppler Effect

An ambulance is receding at $15\frac{m}{s}$ with it's siren on. Normally, the siren has frequency 700Hz . Determine the perceived frequency if the speed of sound is $340.9\frac{m}{s}$ .

Possible Answers:

$f_{observed}=730Hz$

$f_{observed}=670Hz$

None of these

$f_{observed}=650Hz$

$f_{observed}=470Hz$

Correct answer:

$f_{observed}=670Hz$

Explanation:

Use the Doppler effect equation for receding sources:

$f_{observed}=\frac{v}{v+v_{source}}f_{source}$

Where is the speed of sound in the current medium

Plug in values:

$f_{observed}=\frac{340.9}{340.9+15}700$

$f_{observed}=670Hz$

Report an Error

Example Question #1 : Doppler Effect

A motorcycle is approaching at $55\frac{m}{s}$ . Normally, the exhaust note has frequency 105Hz . Determine the perceived frequency if the speed of sound is $340.9\frac{m}{s}$ .

Possible Answers:

$f_{observed}=98Hz$

$f_{observed}=131Hz$

None of these

$f_{observed}=125Hz$

$f_{observed}=115Hz$

Correct answer:

$f_{observed}=125Hz$

Explanation:

Use the Doppler effect equation for approaching sources:

$f_{observed}=\frac{v}{v-v_{source}}f_{source}$

Where is the speed of sound in the current medium.

Plug in values:

$f_{observed}=\frac{340.9}{340.9-55}105$

$f_{observed}=125Hz$

Report an Error

Example Question #1 : Doppler Effect

A train is approaching at $35\frac{m}{s}$ with it's horn on. Normally, the horn has frequency 350Hz . Determine the perceived frequency if the speed of sound is $340.9\frac{m}{s}$ .

Possible Answers:

$f_{observed}=377Hz$

$f_{observed}=360Hz$

$f_{observed}=390Hz$

None of these

$f_{observed}=420Hz$

Correct answer:

$f_{observed}=390Hz$

Explanation:

Use the Doppler effect equation for approaching sources:

$f_{observed}=\frac{v}{v-v_{source}}f_{source}$

Where is the speed of sound in the current medium.

Plug in values:

$f_{observed}=\frac{340.9}{340.9-35}350$

$f_{observed}=390Hz$

Report an Error

Example Question #1 : Doppler Effect

An ambulance is approaching at $15\frac{m}{s}$ with it's siren on. Normally, the siren has frequency 700Hz . Determine the perceived frequency if the speed of sound is $340.9\frac{m}{s}$ .

Possible Answers:

$f_{observed}=732Hz$

$f_{observed}=668Hz$

$f_{observed}=700Hz$

$f_{observed}=711Hz$

None of these

Correct answer:

$f_{observed}=732Hz$

Explanation:

Use the Doppler effect equation for approaching sources:

$f_{observed}=\frac{v}{v-v_{source}}f_{source}$

Where is the speed of sound in the current medium.

Plug in values:

$f_{observed}=\frac{340.9}{340.9-15}700$

$f_{observed}=732Hz$

Report an Error

Example Question #11 : Doppler Effect

How fast would a car have to go to see a red light ( 685nm ) appear green ( 535nm )?

Possible Answers:

$3.88*10^7\frac{m}{s}$

$3.88*10^5\frac{m}{s}$

$6.57*10^5\frac{m}{s}$

$1.11*10^7\frac{m}{s}$

$6.57*10^7\frac{m}{s}$

Correct answer:

$6.57*10^7\frac{m}{s}$

Explanation:

Use the following formula:

$\lambda_{observed}=(1-\frac{v_s}{v})\lambda_{source}$

Where

v_s is the velocity of the source

is the velocity of light in the medium

$\lambda_{source}$ is the source wavelength

$\lambda_{observed}$ is the observed wavelength

Solve for v_s :

$(1-\frac{\lambda_{observed}}{\lambda_{source}})*v=v_s$

Plug in values:

$(1-\frac{535}{685})*3.0*10^8=v_s$

$6.57*10^7\frac{m}{s}=v_s$

Report an Error

Example Question #12 : Doppler Effect

A train is approaching at $60\frac{m}{s}$ with it's horn on. Normally, the horn has frequency 350Hz . Determine the perceived frequency if the speed of sound is $340.9\frac{m}{s}$ .

Possible Answers:

$f_{observed}=425Hz$

$f_{observed}=454Hz$

$f_{observed}=850Hz$

$f_{observed}=399Hz$

$f_{observed}=476Hz$

Correct answer:

$f_{observed}=425Hz$

Explanation:

Use the Doppler effect equation for approaching sources:

$f_{observed}=\frac{v}{v-v_{source}}f_{source}$

Where is the speed of sound in the current medium

Plug in values:

$f_{observed}=\frac{340.9}{340.9-15}700$

$f_{observed}=425Hz$

Report an Error

Example Question #12 : Doppler Effect

A motorcycle is receding at $25\ \frac{\textup{m}}{\textup{s}}$ . Normally, the exhaust note has frequency $105\textup{ Hz}$ . Determine the perceived frequency if the speed of sound is $340.9\ \frac{\textup{m}}{\textup{s}}$ .

Possible Answers:

None of these

$f_{observed}=100.3\textup{ Hz}$

$f_{observed}=93.9\textup{ Hz}$

$f_{observed}=97.8\textup{ Hz}$

$f_{observed}=95.5\textup{ Hz}$

Correct answer:

$f_{observed}=97.8\textup{ Hz}$

Explanation:

Using the doppler effect equation for receding sources:

$f_{observed}=\frac{v}{v+v_{source}}f_{source}$

Where is the speed of sound in the current medium

Plugging in values:

$f_{observed}=\frac{340.9}{340.9+25}105$

$f_{observed}=97.8\textup{ Hz}$

Report an Error

Example Question #11 : Doppler Effect

How fast towards an observer would a red $(\lambda=700\textup{ nm})$ car have to be moving in order to appear yellow $(\lambda=580\textup{ nm})$ ?

Possible Answers:

$8.98*10^7\ \frac{\textup{m}}{\textup{s}}$

$1.35*10^7\ \frac{\textup{m}}{\textup{s}}$

$6.19*10^7\ \frac{\textup{m}}{\textup{s}}$

$5.14*10^7\ \frac{\textup{m}}{\textup{s}}$

None of these

Correct answer:

$5.14*10^7\ \frac{\textup{m}}{\textup{s}}$

Explanation:

Using the Doppler effect equation for approaching sources:

$f_{observed}=\frac{v}{v-v_{source}}f_{source}$

Where is the speed of the wave in the medium, which in this case is the speed of light,

$c=\lambda f$

Combining equations

$\frac{c}{\lambda_o}=\frac{c}{c-v_{source}}\frac{c}{\lambda_s}$

Solving for $v_{source}$ :

$c-\frac{\lambda_o}{\lambda_s}c=v_s$

$3.0*10^8-\frac{580}{700}3.0*10^8=v_s$

$v_s=5.14*10^7\frac{m}{s}$

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AP Physics 2 : Waves

Study concepts, example questions & explanations for AP Physics 2

All AP Physics 2 Resources

Example Questions

Example Question #1 : Doppler Effect

Example Question #6 : Doppler Effect

Example Question #1 : Doppler Effect

Example Question #1 : Doppler Effect

Example Question #1 : Doppler Effect

Example Question #1 : Doppler Effect

Example Question #11 : Doppler Effect

Example Question #12 : Doppler Effect

Example Question #12 : Doppler Effect

Example Question #11 : Doppler Effect

All AP Physics 2 Resources

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