Question

The yellow light given off by a sodium vapor lamp used for public lighting has a wavelength of 5.89x10^-7 m. What is the frequency of this radiation?​

Answer 1

Answer:

λ= Wavelength = 5.89 × 10^-7 m => 589×10^-9 m

f = frequency = ?

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

** Hz = 1/sec

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$f = \frac{c}{λ} \\ \\ f = \frac{3 \times {10}^{8} }{5.89 \times {10}^{ - 7} } \\ \\ f = \frac{3 \times {10}^{8} }{589 \times {10}^{ - 9} } \\ \\ f = 0.00509 \times {10}^{17} \: \frac{1}{sec} \\ \\ f = 509 \times {10}^{ - 5} \times {10}^{17} \: \frac{1}{sec} \\ \\ f = 509 \times {10}^{12} \: \frac{1}{sec} \\ \\ f = 509 \times {10}^{12} Hz \\ \\ f = 5.09 \times {10}^{14} Hz$

I hope I helped you^_^