3 years ago

How to figure out the question?

Physics

1 answer:

Vladimir [108]3 years ago

7 0

Does this help at all to answer the question

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A beam of monochromatic light (f =5.09 ×1014 Hz) has a wavelength of 589 nanometers in air. What is the wavelength of this light

frosja888 [35]

Lucite has a refractive index of n=1.50. This means that the speed of the light in lucite is decreased according to:
$v=\frac{c}{n}$
where $c=3 \cdot 10^8 m/s$ is the speed of light in air. Putting the number in the formula, we find that the speed of light in lucite is
$v=\frac{3 \cdot 10^8 m/s}{1.50}=2\cdot 10^8 m/s$
The frequency of the light is $f=5.09 \cdot 10^{14}Hz$ , so now we can calculate the wavelength in lucite by using the formula:
$\lambda=\frac{v}{f}=\frac{2\cdot 10^8 m/s}{5.09 \cdot 10^{14} Hz}=3.93 \cdot 10^{-7} m=393 nm$
<span>Therefore, the correct answer is (2) 393 nm.</span>

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3 years ago