Question

The wavelength of a certain color of light in a vacuum is $572nm$.
What is its wavelength in diamond, which has an index of refraction of $2.42$?

• A. $236nm$
• B. $1384nm$
• C. $3350nm$
• D. $97.7nm$
• E. $574.42nm$

Answer 1

The correct option is A $236nm$

Given : $n_d=2.42$ and $n_v=1$

Wavelength in vacuum ${\lambda }_v=572$ $nm$

$\therefore$ Its wavelength in diamond ${\lambda }_d=\frac{{\lambda }_v}{n_d}=\frac{572}{2.42}=236$ $nm$