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Answer :
To find the velocity of a wave, we use the formula:
[tex]\[ v = f \times \lambda \][/tex]
where:
- [tex]\( v \)[/tex] is the velocity of the wave,
- [tex]\( f \)[/tex] is the frequency of the wave,
- [tex]\( \lambda \)[/tex] (lambda) is the wavelength of the wave.
In this problem, you are given:
- The frequency [tex]\( f = 30,000 \)[/tex] Hz
- The wavelength [tex]\( \lambda = 5.0 \)[/tex] meters
Let's plug these values into the formula:
[tex]\[ v = 30,000 \, \text{Hz} \times 5.0 \, \text{m} \][/tex]
When you perform the multiplication:
[tex]\[ v = 150,000 \, \text{m/s} \][/tex]
Thus, the velocity of the wave is [tex]\( 150,000 \text{ m/s} \)[/tex]. This matches the second option: [tex]\( 150,000 \text{ m/s} \)[/tex].
[tex]\[ v = f \times \lambda \][/tex]
where:
- [tex]\( v \)[/tex] is the velocity of the wave,
- [tex]\( f \)[/tex] is the frequency of the wave,
- [tex]\( \lambda \)[/tex] (lambda) is the wavelength of the wave.
In this problem, you are given:
- The frequency [tex]\( f = 30,000 \)[/tex] Hz
- The wavelength [tex]\( \lambda = 5.0 \)[/tex] meters
Let's plug these values into the formula:
[tex]\[ v = 30,000 \, \text{Hz} \times 5.0 \, \text{m} \][/tex]
When you perform the multiplication:
[tex]\[ v = 150,000 \, \text{m/s} \][/tex]
Thus, the velocity of the wave is [tex]\( 150,000 \text{ m/s} \)[/tex]. This matches the second option: [tex]\( 150,000 \text{ m/s} \)[/tex].
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