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Complete the following practice problems. You MUST show ALL the work outlined.

1. A wave with a frequency of 11 Hz has a wavelength of 4 meters. At what speed will this wave travel?

2. The speed of a wave is 50 m/sec. If the wavelength of the wave is 0.7 meters, what is the frequency of the wave?

3. A wave traveling at 250 m/sec has a wavelength of 2.3 meters. What is the frequency of this wave?​


Sagot :

[tex]\tt{\huge{\red{Solutions:}}}[/tex]

1)

v = λf

v = (4 m)(11 Hz)

v = (4 m)(11 s⁻¹)

[tex]\boxed{v = \text{44 m/s}}[/tex]

2)

[tex]f = \dfrac{v}{\lambda}[/tex]

[tex]f = \dfrac{\text{50 m/s}}{\text{0.7 m}}[/tex]

f = 71.43 s⁻¹

[tex]\boxed{f = \text{71.43 Hz}}[/tex]

3)

[tex]f = \dfrac{v}{\lambda}[/tex]

[tex]f = \dfrac{\text{250 m/s}}{\text{2.3 m}}[/tex]

f = 108.70 s⁻¹

[tex]\boxed{f = \text{108.70 Hz}}[/tex]

[tex]\\[/tex]

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