Relate Wavelength Frequency Wave Speed - Physics
Card 1 of 30
Identify the SI unit for frequency $f$.
Identify the SI unit for frequency $f$.
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$\text{Hz}$. Hertz means cycles per second.
$\text{Hz}$. Hertz means cycles per second.
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Calculate $f$ if $v = 3,\text{m},\text{s}^{-1}$ and $\lambda = 0.25,\text{m}$.
Calculate $f$ if $v = 3,\text{m},\text{s}^{-1}$ and $\lambda = 0.25,\text{m}$.
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$f = 12,\text{Hz}$. Apply $f = \frac{v}{\lambda} = \frac{3}{0.25} = 12$.
$f = 12,\text{Hz}$. Apply $f = \frac{v}{\lambda} = \frac{3}{0.25} = 12$.
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What happens to wavelength $\lambda$ if wave speed $v$ is constant and frequency $f$ doubles?
What happens to wavelength $\lambda$ if wave speed $v$ is constant and frequency $f$ doubles?
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$\lambda$ halves. Since $v = f\lambda$ is constant, doubling $f$ halves $\lambda$.
$\lambda$ halves. Since $v = f\lambda$ is constant, doubling $f$ halves $\lambda$.
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What happens to frequency $f$ if wave speed $v$ is constant and wavelength $\lambda$ triples?
What happens to frequency $f$ if wave speed $v$ is constant and wavelength $\lambda$ triples?
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$f$ becomes $\frac{1}{3}$ as large. Since $v = f\lambda$ is constant, tripling $\lambda$ divides $f$ by 3.
$f$ becomes $\frac{1}{3}$ as large. Since $v = f\lambda$ is constant, tripling $\lambda$ divides $f$ by 3.
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What happens to wave speed $v$ if frequency $f$ doubles and wavelength $\lambda$ halves?
What happens to wave speed $v$ if frequency $f$ doubles and wavelength $\lambda$ halves?
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$v$ stays the same. Product $f\lambda$ remains constant: $2f \times \frac{\lambda}{2} = f\lambda$.
$v$ stays the same. Product $f\lambda$ remains constant: $2f \times \frac{\lambda}{2} = f\lambda$.
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Identify the proportionality between $f$ and $\lambda$ when $v$ is constant.
Identify the proportionality between $f$ and $\lambda$ when $v$ is constant.
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$f \propto \frac{1}{\lambda}$. Inverse proportionality when $v$ is constant.
$f \propto \frac{1}{\lambda}$. Inverse proportionality when $v$ is constant.
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Calculate $v$ if $f = 5,\text{Hz}$ and $\lambda = 2,\text{m}$.
Calculate $v$ if $f = 5,\text{Hz}$ and $\lambda = 2,\text{m}$.
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$v = 10,\text{m},\text{s}^{-1}$. Apply $v = f\lambda = 5 \times 2 = 10$.
$v = 10,\text{m},\text{s}^{-1}$. Apply $v = f\lambda = 5 \times 2 = 10$.
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Calculate $f$ if $v = 12,\text{m},\text{s}^{-1}$ and $\lambda = 3,\text{m}$.
Calculate $f$ if $v = 12,\text{m},\text{s}^{-1}$ and $\lambda = 3,\text{m}$.
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$f = 4,\text{Hz}$. Apply $f = \frac{v}{\lambda} = \frac{12}{3} = 4$.
$f = 4,\text{Hz}$. Apply $f = \frac{v}{\lambda} = \frac{12}{3} = 4$.
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Calculate $\lambda$ if $v = 20,\text{m},\text{s}^{-1}$ and $f = 4,\text{Hz}$.
Calculate $\lambda$ if $v = 20,\text{m},\text{s}^{-1}$ and $f = 4,\text{Hz}$.
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$\lambda = 5,\text{m}$. Apply $\lambda = \frac{v}{f} = \frac{20}{4} = 5$.
$\lambda = 5,\text{m}$. Apply $\lambda = \frac{v}{f} = \frac{20}{4} = 5$.
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Calculate $v$ if $f = 0.5,\text{Hz}$ and $\lambda = 8,\text{m}$.
Calculate $v$ if $f = 0.5,\text{Hz}$ and $\lambda = 8,\text{m}$.
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$v = 4,\text{m},\text{s}^{-1}$. Apply $v = f\lambda = 0.5 \times 8 = 4$.
$v = 4,\text{m},\text{s}^{-1}$. Apply $v = f\lambda = 0.5 \times 8 = 4$.
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Calculate $\lambda$ if $v = 1.5,\text{m},\text{s}^{-1}$ and $f = 6,\text{Hz}$.
Calculate $\lambda$ if $v = 1.5,\text{m},\text{s}^{-1}$ and $f = 6,\text{Hz}$.
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$\lambda = 0.25,\text{m}$. Apply $\lambda = \frac{v}{f} = \frac{1.5}{6} = 0.25$.
$\lambda = 0.25,\text{m}$. Apply $\lambda = \frac{v}{f} = \frac{1.5}{6} = 0.25$.
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Find $v$ if $\lambda = 0.40,\text{m}$ and $f = 50,\text{Hz}$.
Find $v$ if $\lambda = 0.40,\text{m}$ and $f = 50,\text{Hz}$.
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$v = 20,\text{m},\text{s}^{-1}$. Apply $v = f\lambda = 50 \times 0.40 = 20$.
$v = 20,\text{m},\text{s}^{-1}$. Apply $v = f\lambda = 50 \times 0.40 = 20$.
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Find $f$ if $\lambda = 0.80,\text{m}$ and $v = 16,\text{m},\text{s}^{-1}$.
Find $f$ if $\lambda = 0.80,\text{m}$ and $v = 16,\text{m},\text{s}^{-1}$.
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$f = 20,\text{Hz}$. Apply $f = \frac{v}{\lambda} = \frac{16}{0.80} = 20$.
$f = 20,\text{Hz}$. Apply $f = \frac{v}{\lambda} = \frac{16}{0.80} = 20$.
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Find $\lambda$ if $f = 25,\text{Hz}$ and $v = 5,\text{m},\text{s}^{-1}$.
Find $\lambda$ if $f = 25,\text{Hz}$ and $v = 5,\text{m},\text{s}^{-1}$.
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$\lambda = 0.20,\text{m}$. Apply $\lambda = \frac{v}{f} = \frac{5}{25} = 0.20$.
$\lambda = 0.20,\text{m}$. Apply $\lambda = \frac{v}{f} = \frac{5}{25} = 0.20$.
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Find and correct the formula error: $v = \frac{\lambda}{f}$.
Find and correct the formula error: $v = \frac{\lambda}{f}$.
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Correct: $v = f\lambda$. The given formula incorrectly divides; multiply instead.
Correct: $v = f\lambda$. The given formula incorrectly divides; multiply instead.
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Identify the SI unit of wavelength $\lambda$.
Identify the SI unit of wavelength $\lambda$.
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meter $(\text{m})$. Wavelength measures distance between wave peaks.
meter $(\text{m})$. Wavelength measures distance between wave peaks.
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What is the rearranged formula for wavelength $\lambda$ in terms of $v$ and $f$?
What is the rearranged formula for wavelength $\lambda$ in terms of $v$ and $f$?
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$\lambda = \frac{v}{f}$. Rearrange $v = f\lambda$ by dividing both sides by $f$.
$\lambda = \frac{v}{f}$. Rearrange $v = f\lambda$ by dividing both sides by $f$.
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What is the rearranged formula for frequency $f$ in terms of $v$ and $\lambda$?
What is the rearranged formula for frequency $f$ in terms of $v$ and $\lambda$?
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$f = \frac{v}{\lambda}$. Rearrange $v = f\lambda$ by dividing both sides by $\lambda$.
$f = \frac{v}{\lambda}$. Rearrange $v = f\lambda$ by dividing both sides by $\lambda$.
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State the formula that relates wave speed $v$, frequency $f$, and wavelength $\lambda$.
State the formula that relates wave speed $v$, frequency $f$, and wavelength $\lambda$.
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$v = f\lambda$. Wave speed equals frequency times wavelength.
$v = f\lambda$. Wave speed equals frequency times wavelength.
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Identify the SI unit of frequency $f$.
Identify the SI unit of frequency $f$.
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hertz $(\text{Hz})$. Frequency measures cycles per second.
hertz $(\text{Hz})$. Frequency measures cycles per second.
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Identify the SI unit of wave speed $v$.
Identify the SI unit of wave speed $v$.
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$\text{m},\text{s}^{-1}$. Meters per second for velocity.
$\text{m},\text{s}^{-1}$. Meters per second for velocity.
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Find $v$ if $f=250,\text{Hz}$ and $\lambda=0.40,\text{m}$.
Find $v$ if $f=250,\text{Hz}$ and $\lambda=0.40,\text{m}$.
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$v=100,\text{m},\text{s}^{-1}$. Using $v=f\lambda$: $v=250\times^0.40=100,\text{m},\text{s}^{-1}$.
$v=100,\text{m},\text{s}^{-1}$. Using $v=f\lambda$: $v=250\times^0.40=100,\text{m},\text{s}^{-1}$.
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Calculate $\lambda$ if $v=20,\text{m},\text{s}^{-1}$ and $f=4,\text{Hz}$.
Calculate $\lambda$ if $v=20,\text{m},\text{s}^{-1}$ and $f=4,\text{Hz}$.
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$\lambda=5,\text{m}$. Using $\lambda=\frac{v}{f}$: $\lambda=\frac{20}{4}=5,\text{m}$.
$\lambda=5,\text{m}$. Using $\lambda=\frac{v}{f}$: $\lambda=\frac{20}{4}=5,\text{m}$.
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Find $f$ if $v=60,\text{m},\text{s}^{-1}$ and $\lambda=1.5,\text{m}$.
Find $f$ if $v=60,\text{m},\text{s}^{-1}$ and $\lambda=1.5,\text{m}$.
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$f=40,\text{Hz}$. Using $f=\frac{v}{\lambda}$: $f=\frac{60}{1.5}=40,\text{Hz}$.
$f=40,\text{Hz}$. Using $f=\frac{v}{\lambda}$: $f=\frac{60}{1.5}=40,\text{Hz}$.
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Find and correct the formula error: $v=\frac{f}{\lambda}$.
Find and correct the formula error: $v=\frac{f}{\lambda}$.
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Correct: $v=f\lambda$. The formula incorrectly divides; it should multiply $f$ and $\lambda$.
Correct: $v=f\lambda$. The formula incorrectly divides; it should multiply $f$ and $\lambda$.
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Find and correct the formula error: $\lambda=\frac{f}{v}$.
Find and correct the formula error: $\lambda=\frac{f}{v}$.
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Correct: $\lambda=\frac{v}{f}$. The formula has $f$ and $v$ swapped in the fraction.
Correct: $\lambda=\frac{v}{f}$. The formula has $f$ and $v$ swapped in the fraction.
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Calculate $f$ if $v=12,\text{m},\text{s}^{-1}$ and $\lambda=3,\text{m}$.
Calculate $f$ if $v=12,\text{m},\text{s}^{-1}$ and $\lambda=3,\text{m}$.
Tap to reveal answer
$f=4,\text{Hz}$. Using $f=\frac{v}{\lambda}$: $f=\frac{12}{3}=4,\text{Hz}$.
$f=4,\text{Hz}$. Using $f=\frac{v}{\lambda}$: $f=\frac{12}{3}=4,\text{Hz}$.
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Calculate $v$ if $f=0.5,\text{Hz}$ and $\lambda=8,\text{m}$.
Calculate $v$ if $f=0.5,\text{Hz}$ and $\lambda=8,\text{m}$.
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$v=4,\text{m},\text{s}^{-1}$. Using $v=f\lambda$: $v=0.5\times^8=4,\text{m},\text{s}^{-1}$.
$v=4,\text{m},\text{s}^{-1}$. Using $v=f\lambda$: $v=0.5\times^8=4,\text{m},\text{s}^{-1}$.
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Calculate $f$ if $v=3,\text{m},\text{s}^{-1}$ and $\lambda=0.25,\text{m}$.
Calculate $f$ if $v=3,\text{m},\text{s}^{-1}$ and $\lambda=0.25,\text{m}$.
Tap to reveal answer
$f=12,\text{Hz}$. Using $f=\frac{v}{\lambda}$: $f=\frac{3}{0.25}=12,\text{Hz}$.
$f=12,\text{Hz}$. Using $f=\frac{v}{\lambda}$: $f=\frac{3}{0.25}=12,\text{Hz}$.
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Calculate $\lambda$ if $v=1.5,\text{m},\text{s}^{-1}$ and $f=6,\text{Hz}$.
Calculate $\lambda$ if $v=1.5,\text{m},\text{s}^{-1}$ and $f=6,\text{Hz}$.
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$\lambda=0.25,\text{m}$. Using $\lambda=\frac{v}{f}$: $\lambda=\frac{1.5}{6}=0.25,\text{m}$.
$\lambda=0.25,\text{m}$. Using $\lambda=\frac{v}{f}$: $\lambda=\frac{1.5}{6}=0.25,\text{m}$.
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