Question #5520

What is the frequency of a wave if its wavelength is 3.6 x 10-9 m and its velocity is 3.0 x 108 m/s?

Expert's answer

Question 5520

What is the frequency of a wave if its wavelength is 3.6×109m3.6 \times 10^{-9} \, \mathrm{m} and its velocity is 3.0×108m/s3.0 \times 10^{-8} \, \mathrm{m/s}?

Please explain your answer

The wavelength is by definition: λ=νT=νν\lambda = \nu T = \frac{\nu}{\nu} Hence, the frequency is ν=νλ8.331016s1\nu = \frac{\nu}{\lambda} \approx 8.33 \cdot 10^{16} \, \mathrm{s}^{-1}

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