A monochromatic light of frequency $5 \times 10^{14} \mathrm{~Hz}$ travelling through air, is incident on a…

A monochromatic light of frequency $5 \times 10^{14} \mathrm{~Hz}$ travelling through air, is incident on a medium of refractive index ' 2 '. Wavelength of the refracted light will be :
  1. $300\mathrm{~nm}$
  2. $600\mathrm{~nm}$
  3. $400\mathrm{~nm}$
  4. $500\mathrm{~nm}$

Solution

$\mathrm{f} \lambda=\mathrm{v} \quad \lambda_{\text {medium }}=\frac{\lambda_{\text {vacuum }}}{\mu}$
$\lambda_{\text {medium }} \Rightarrow \frac{3 \times 10^8}{2 \times 5 \times 10^{14}} \Rightarrow 0.3 \times 10^{-6} \Rightarrow 300 \mathrm{~nm}$

Asked in: JEE Main 2025 (03 Apr Shift 2)

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