The wavelength of red helium–neon laser light in air is 632.8 nm. (a) What is its frequency? Hz (b) What is its wavelength in glass that has an index of refraction of 1.51? nm (c) What is its speed in the glass?

Respuesta :

Explanation:

It is given that,

The wavelength of red helium–neon laser light in air is, [tex]\lambda=632.8\ nm=632.8\times 10^{-9}\ m[/tex]

(a) Frequency, [tex]f=\dfrac{c}{\lambda}[/tex]

[tex]f=\dfrac{3\times 10^8\ m/s}{632.8\times 10^{-9}\ m}[/tex]

[tex]f=4.74\times 10^{14}\ Hz[/tex]

(b) Let [tex]\lambda_g[/tex] shows its wavelength in glass that has an index of refraction of 1.51,

[tex]\lambda_g=\dfrac{\lambda}{n}[/tex]

[tex]\lambda_g=\dfrac{632.8\times 10^{-9}\ m}{1.51}[/tex]

[tex]\lambda_g=4.19\times 10^{-7}\ m[/tex]

[tex]\lambda_g=419\ nm[/tex]

(c) Let [tex]v_g[/tex] is its speed in the glass.

[tex]v_g=\dfrac{c}{n}[/tex]

[tex]v_g=\dfrac{3\times 10^8\ m/s}{1.51}[/tex]

[tex]v_g=1.99\times 10^8\ m/s[/tex]

Hence, this is the required solution.

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