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Light with a frequency of 5.80 * 1014 hz travels in a block of glass that has an index of refraction of 1.52. what is the wavelength of the light (a) in vacuum and (b) in the glass?

Sagot :

The wavelength of the light in a vacuum is [tex]5.17 \times 10^{-7} m[/tex] and in the glass is [tex]3.403 \times 10^{-7} m[/tex].

What is wavelength?

The wavelength of a periodic wave is the separation between two adjacent places on the wave that corresponds to the same phase, such as two neighboring crests, troughs, or zero crossings. The wavelength is a property of both traveling waves and standing waves, as well as other spatial wave patterns. The inverse of the wavelength is known as the spatial frequency. The Greek letter lambda λ is frequently used to represent wavelength. Wavelength varies depending on the medium that a wave passes through, such as vacuum, air, or water. It is also occasionally used to refer to modulated waves, their sinusoidal envelopes, or waves created by the interference of several sinusoids.

F = [tex]5.80\times 10^{14} Hz[/tex]

In a vacuum V = [tex]3 \times 10^{8}[/tex] = C

[tex]\lambda = \frac{V}{F}[/tex]

= [tex]5.17 \times 10^{-7} m[/tex]

In the glass

[tex]\mu = 1.52[/tex]

[tex]V =\frac{C}{\mu}[/tex]

= [tex]\frac{3 \times 10^{8} }{1.52}[/tex]

= 197368421.1 m/sec

[tex]\lambda = \frac{V}{F}[/tex]

= [tex]3.403 \times 10^{-7} m[/tex]

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