What is the frequency of light (s-1) that has a wavelength of 1.23 xx 10^-6 cm?

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Apr 20, 2016

$2.439 \times {10}^{16} H z$, rounded to three places of decimal.

Explanation:

Frequency $\nu$, wavelength $\lambda$ and speed of light $c$ are connected to each other by the expression
$c = \nu \lambda$
Inserting give number and taking $c = 3 \times {10}^{10} c m {s}^{-} 1$, CGS units
$3 \times {10}^{10} = \nu \times 1.23 \times {10}^{-} 6$, solving for frequency

$\nu = \frac{3 \times {10}^{10}}{1.23 \times {10}^{-} 6}$
$= 2.439 \times {10}^{16} H z$, rounded to three places of decimal.

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