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  • 03-10-2021
  • Chemistry
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A radio station broadcasts at a frequency of 590,000 Hz. What is the wavelength of the radio waves?​

A radio station broadcasts at a frequency of 590000 Hz What is the wavelength of the radio waves class=

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ghaithgh
ghaithgh ghaithgh
  • 03-10-2021

Answer:

f = frequency = 590,000 Hz ===> 59×10^4 Hz

λ = Wavelength = ?

c = Speed of light in a vacuum = 3 × 10^8 m/s

** Hz = 1/sec

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[tex]f = \frac{c}{λ} \\ \\ λ = \frac{c}{f} \\ \\ λ = \frac{3 \times {10}^{8} }{590000} \\ \\ λ = \frac{3 \times {10}^{8} }{59 \times {10}^{4} } \\ \\ λ =0.0508 \times {10}^{4} \: m \\ \\ λ = 508 \times {10}^{ - 4} \times {10}^{4} \: m \\ \\ λ = 508 \: m[/tex]

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