Refraction by Plane Surfaces: Practice Problem & Solution
The frequency of a light wave in a material is $2 \times 10^{14} Hz$ and wavelength is $5000\mathring{A}$ . The refractive index of material will be: (2007)
Short Solution (Best for NEET):
To solve this problem, we apply the core principles of Refraction by Plane Surfaces. Understanding the underlying formula is key to arriving at the correct answer below:
Velocity of light in the material is given by $v = f \lambda = (2 \times 10^{14} Hz) \times (5000 \times 10^{-10} m) = 10^8 m/s$ . The refractive index of the material is calculated as $n = \frac{c}{v} = \frac{3 \times 10^8}{10^8} = 3.00$ .
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