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AP Physics 2 : AP Physics 2

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

Suppose that two cars are moving towards one another, and each is traveling at a speed of $30\: \frac{m}{s}$ . If one of the cars begins to beep its horn at a frequency of 300 Hz , what is the wavelength perceived by the other car?

$v_{sound}=343\frac{m}{s}$

Possible Answers:

95.9cm

The perceived wavelength will be identical to the source wavelength because the two cars are moving toward one another

357.5cm

105cm

Correct answer:

95.9cm

Explanation:

We are being told that two cars are moving towards one another, and one of the cars is emitting a sound at a certain frequency. The other car will, in turn, perceive this sound at a different frequency because both cars are moving relative to one another. Therefore, we can classify this problem as one involving the concept of the Doppler effect.

$f_{observed}=f_{source}\frac{v\pm v_{detector}}{v\pm v_{source}}$

Since the two cars are moving towards one another, we can conclude that the observed frequency should be greater than the source frequency. In order to make that true, we'll need to add in the numerator above, and subtract in the denominator.

$f_{observed}=300Hz\left(\frac{343+30}{343-30}\right)$

$f_{observed}=357.5 Hz$

But we're not done yet. The question is asking for the perceived wavelength, not the perceived frequency. Hence, we'll need to convert frequency into wavelength using the following formula:

$v=f\lambda$

$\lambda =\frac{v}{f}$

$\lambda =\frac{343 \frac{m}{s}}{357.5 s^{-1}}=0.959m=95.9cm$

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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:

None of these

$f_{observed}=120Hz$

$f_{observed}=93.1Hz$

$f_{observed}=100.6Hz$

$f_{observed}=95.5Hz$

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:

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

$f_{observed}=335Hz$

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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:

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

$f_{observed}=670Hz$

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Example Question #2 : 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:

None of these

$f_{observed}=131Hz$

$f_{observed}=125Hz$

$f_{observed}=98Hz$

$f_{observed}=115Hz$

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:

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

$f_{observed}=125Hz$

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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:

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

$f_{observed}=732Hz$

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Example Question #11 : Doppler Effect

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

Possible Answers:

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

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

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

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

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

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:

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

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

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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 #11 : 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:

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

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

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

None of these

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

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:

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

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

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AP Physics 2 : AP Physics 2

Study concepts, example questions & explanations for AP Physics 2

All AP Physics 2 Resources

Example Questions

Example Question #1 : Doppler Effect

Example Question #1 : Doppler Effect

Example Question #6 : Doppler Effect

Example Question #1 : Doppler Effect

Example Question #2 : Doppler Effect

Example Question #1 : Doppler Effect

Example Question #1 : Doppler Effect

Example Question #11 : Doppler Effect

Example Question #12 : Doppler Effect

Example Question #11 : Doppler Effect

All AP Physics 2 Resources

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