Violet light has a frequency of 7.26 × 10^14 Hz and travels at a speed of 3.00 × 10^8 m/s. HINT: to convert to nanometers (nm) multiply your

Question

Violet light has a frequency of 7.26 × 10^14 Hz and travels at a speed of 3.00 × 10^8 m/s. HINT: to convert to nanometers (nm) multiply your final answer by 10^9. *
1 point
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2.18 x 10^32 nm
413 nm
2.42 x10^15
0.00242

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Helga 5 years 2021-07-28T04:05:41+00:00 1 Answers 55 views 0

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  1. Latifah
    0
    2021-07-28T04:07:29+00:00
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    Answer:

    413 nm

    Explanation:

    The wavelength is defined as

    \lambda = \frac{c}{f}

    Where \lambda represents the wavelength, c the speed of the wave which is a constant and f is the frequency of the wave,

    In this case, we know

    c = 3.00 \times 10^{8} m/s

    f=7.26 \times 10^{14}Hz, where Hz=\frac{1}{sec}

    Replacing these given values in the formula, we have

    \lambda= \frac{3.00 \times 10^{8} m/s }{7.26\times 10^{14} \frac{1}{sec} }\\ \lambda = 0.4132 \times 10^{-6} m

    But, we know that 1 \ m = 10^{9} \ nm

    So, we use the equivalence to transform the wavelength from meters to nanometers.

    0.4132 \times 10^{-6}m\frac{10^{9}nm }{1m} =0.4132 \times 10^{3} \ nm=413.2 nm

    Therefore, the wavelength is 413.2 nanometers, approximately.

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