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

Answer 1

Answer: $4.29\times10^{14}\text{ Hz}$

Explanation:

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 $4.29\times10^{14}\text{ Hz}$.