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gladu [14]
3 years ago
6

A light wave has a 670 {\rm nm} wavelength in air. Its wavelength in a transparent solid is420 {\rm nm} .a)What is the speed of

light in this solid?b)What is the light's frequency in the solid?
Physics
1 answer:
tia_tia [17]3 years ago
5 0

Answer:

Explanation:

given,

Light wave wavelength in Air, λ_(vac) = 670 nm

wavelength in transparent solid, λ= 420 nm

Refractive index of the solid

n = \dfrac{\lambda_{vac}}{\lambda}

n = \dfrac{670}{420}

   n = 1.6

a) speed of light in the solid

v = \dfrac{c}{n}

v = \dfrac{c}{1.6}

       v = 0.625 c

b) light's frequency in the solid

  f = \dfrac{c}{\lambda_{vac}}

frequency of light remain same when light move from one medium to another.

 f is the frequency of light

  f = \dfrac{3\times 10^8}{670\times 10^{-9}}

        f = 4.47 x 10⁻¹⁴ Hz

the light's frequency in the solid is equal to 4.47 x 10⁻¹⁴ Hz

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