It is determined that a certain light wave has a wavelength of 3.012 ×10−12 m. The light travels at 2.99 ×108 m/s. What is the frequency

Question

It is determined that a certain light wave has a wavelength of 3.012 ×10−12 m. The light travels at 2.99 ×108 m/s. What is the frequency of the light wave? (Round your answer to three significant figures.)

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Neala 3 years 2021-08-01T02:12:17+00:00 2 Answers 41 views 0

Answers ( )

  1. Cherry
    0
    2021-08-01T02:13:27+00:00
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    Answer:

    f=9.9269\,\,10^{19} Hz

    Explanation:

    Recall that the velocity (v) of a light wave is defined as the product of its frequency (f)  times its wavelength (\lambda) :

    v=f*\lambda

    therefore, we can solve for the unknown frequency by dividing both sides of the equation by the frequency:

    v=f*\lambda\\2.99\,\,10^{8} \frac{m}{s} = f *\,3.012\,\,10^{-12}\, m\\\frac{2.99\,\,10^8}{3.012\,\,10^{-12}} \frac{1}{s}=f\\ f=0.99269\,\,10^{20}\,\, \frac{1}{s}\\

    Since the units “1/second” are what we call Hertz (Hz), the answer can also be given as:

    f=9.9269\,\,10^{19} Hz\,

  2. thucuc
    0
    2021-08-01T02:14:03+00:00
    Reply

    Answer:

    f=9.93 × 1019 Hz

    Explanation:

     

    Use the relationship  f=vλ  to solve for frequency f. Substituting the known quantities yields:

     

    f=vλf=2.99 × 108  m/s3.012 × 10-12 mf=9.926×1019  

     

    answer rounded off to 3 significant digits is

     

    f=9.93 × 1019 Hz

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