Question #171610

A beam of monochromatic light of wavelength 4.0*10-7m in air passes into glass of refractive index there for the speed of light in a air is 3*10m/s calculate 1 the speed of light in glass 2 the frequency of light 3 the wavelength of light in glass


1
Expert's answer
2021-03-16T11:20:47-0400

(a) By the definition of the refractive index, we have:


n=cv,n=\dfrac{c}{v},v=cn=3.0108 ms1.5=2.0108 ms.v=\dfrac{c}{n}=\dfrac{3.0\cdot10^8\ \dfrac{m}{s}}{1.5}=2.0\cdot10^8\ \dfrac{m}{s}.

b)

f=cλ=3108 ms4107 m=750 THz.f=\dfrac{c}{\lambda}=\dfrac{3\cdot10^8\ \dfrac{m}{s}}{4\cdot10^{-7}\ m}=750\ THz.

c)

λ=λ0n=4107 m1.5=2.67107 m.\lambda=\dfrac{\lambda_0}{n}=\dfrac{4\cdot10^{-7}\ m}{1.5}=2.67\cdot10^{-7}\ m.

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