A light wave has a frequency of 4 times 10^{1 | vedclass

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Question

(A) The speed of light in a medium $(v)$ is given by the product of frequency $(f)$ and wavelength $(\lambda)$:$v = f 	imes \lambda$Given $f = 4 	im

Vedclass · Accepted Answer

$1.5$

Vedclass · Answer

(A) The speed of light in a medium $(v)$ is given by the product of frequency $(f)$ and wavelength $(\lambda)$:$v = f 	imes \lambda$Given $f = 4 	imes 10^{14} ~Hz$ and $\lambda = 5 	imes 10^{-7} ~m$.$v = (4 	imes 10^{14}) 	imes (5 	imes 10^{-7}) = 20 	imes 10^7 ~m/s = 2 	imes 10^8 ~m/s$.The refractive index $(\mu)$ is defined as the ratio of the speed of light in a vacuum $(c)$ to the speed of light in the medium $(v)$:$\mu = \frac{c}{v}$Taking $c = 3 	imes 10^8 ~m/s$:$\mu = \frac{3 	imes 10^8}{2 	imes 10^8} = 1.5$.

$A$ light wave has a frequency of $4 \times 10^{14} ~Hz$ and a wavelength of $5 \times 10^{-7} ~m$ in a medium. The refractive index of the medium is:

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