Question

The index of refraction of a certain material is 1.5. If I send red light (700 nm) through the material, what will the frequency of the light be in the material

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Answer 1

$\red{\bold{\underline{{ Answer \: with\: Explanation \: :}}}}$

$\huge\green{\boxed{4.29\times10^{14}\text{ Hz}}}$

Given: Speed of red light = 700 nm

= $700\times10^{-9}$ m

$= 7\times10^{-7}$ m

Frequency of red light = $\dfrac{\text{Speed of light}}{\text{Speed of red light}}$

Speed of light = $3\times10^8$ m

Then, Frequency of Red Light = $\dfrac{3\times10^8}{7\times10^{-7}}$

$=0.429\times10^{8-(-7)}=0.429\times10^{15}\\\\=4.29\times10^{14}\ Hz$

Hence, Frequency of red light = $4.29\times10^{14}\text{ Hz}$

The Frequency of the Light be in the Material is $\red{4.29\times10^{14}\text{ Hz}}$