The frequency of a light wave in a material is 4 ×10^14 Hz and wavelength is 5000 Å. The refrac

step 1 Okay, in this question we are asked that the frequency of the light wave in a material is 2 mult

The frequency of a light wave in a material is 4 ×10^14 Hz...

The frequency of a light wave in a material is $4 \times 10^{14} \mathrm{~Hz}$ and wavelength is $5000 \AA$. The refractive index of material will be take $\left.\mathrm{c}=3 \times 10^{8} \mathrm{~ms}^{-1}\right)$
(A) $1.5$
(B) $1.7$
(C) $1.33$
(D) None of these

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Key Concepts

Unit Conversion

Unit conversion is crucial in physics for ensuring consistency in calculations. In optics, converting units, such as from Angstroms to meters, is important for correctly applying the wave equations and deriving quantities like speed, which have standard units in the SI system.

Refractive Index

The refractive index is a dimensionless number that describes how light propagates through a medium. It is defined as the ratio of the speed of light in a vacuum to its speed in the medium. This concept is vital for understanding how light bends and slows down when entering materials other than vacuum, affecting phenomena such as refraction and dispersion.

Frequency and Wavelength Relationship

This concept highlights the fundamental relationship between the speed of light, its frequency, and its wavelength, often expressed by the equation c = frequency × wavelength. In a medium, the wavelength changes while the frequency remains constant, which is key to analyzing how light behaves when transitioning between different materials.

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