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High School Physics : Understanding Wavelength and Frequency

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Example Questions

Example Question #21 : Understanding Wavelength And Frequency

A saxophone plays a B-flat at $\displaystyle 466.16Hz$ in normal air at $20^\circ C$ $\displaystyle 20^\circ C$. What is the wavelength of the note?

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

Possible Answers:

123m $\displaystyle 123m$

1.4m $\displaystyle 1.4m$

0.74m $\displaystyle 0.74m$

0.67m $\displaystyle 0.67m$

$\displaystyle 1.6*10^5m$

Correct answer:

0.74m $\displaystyle 0.74m$

Explanation:

Remember that the velocity of a wave is always equal to the wavelength times the frequency:

$v=\lambda*f$ $\displaystyle v=\lambda*f$

All sound waves will travel with the same velocity, the speed of sound. Using this value and the given frequency, we can calculate the wavelength.

$343\frac{m}{s}=\lambda*466.16Hz$ $\displaystyle 343\frac{m}{s}=\lambda*466.16Hz$

$\frac{343\frac{m}{s}}{466.16Hz}=\lambda$ $\displaystyle \frac{343\frac{m}{s}}{466.16Hz}=\lambda$

$0.74m=\lambda$ $\displaystyle 0.74m=\lambda$

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Example Question #22 : Understanding Wavelength And Frequency

A flute plays a note with a frequency of 481Hz $\displaystyle 481Hz$. What is the period of this note?

Possible Answers:

0.046s $\displaystyle 0.046s$

0.002s $\displaystyle 0.002s$

0.015s $\displaystyle 0.015s$

21.93s $\displaystyle 21.93s$

0.21s $\displaystyle 0.21s$

Correct answer:

0.002s $\displaystyle 0.002s$

Explanation:

Period is the inverse of frequency:

$T=\frac{1}{f}$ $\displaystyle T=\frac{1}{f}$.

Given the frequency, we simply need to take the reciprocal in order to find the period.

$T=\frac{1}{481Hz}$ $\displaystyle T=\frac{1}{481Hz}$

$\displaystyle T=0.002s$

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High School Physics : Understanding Wavelength and Frequency

Study concepts, example questions & explanations for High School Physics

All High School Physics Resources

Example Questions

Example Question #21 : Understanding Wavelength And Frequency

Example Question #22 : Understanding Wavelength And Frequency

All High School Physics Resources

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