Question 7: What is the frequency of a radiation with wave number (ν̅) equal to 0.5 × 10^{8} m^{-1}?

Answer

Theory: Wave number (ν̅) is defined as the number of waves in unit length. Similarly, frequency, ν is the number of waves passed through a point in one second. Thus if c is the velocity the radiation, then ν = ν̅c.
Given that, ν̅ = 0.5 × 10^{8} m^{-1}, and we know that the velocity of the electromagnetic radiation is, c = 3 × 10^{8} ms^{-1}. So put the values in the above equation,
ν = 0.5 × 10^{8} m^{-1} × 3 × 10^{8} ms^{-1} = 1.5 × 10^{16} s^{-1}.

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