A photon in a monochromatic beam of light has energy 3 eV. The wavelength is closest to: A) 4960 nm B) 1240 nm C) 413 nm D) 310 nm E) 4.8x10-19 m

Respuesta :

Answer:

[tex]\lambda=4.143\times 10^{-7}\ m[/tex]

Explanation:

It is given that,

Energy of the photon, [tex]E=3\ eV=3\times 1.6\times 10^{-19}\ J[/tex]

[tex]E=4.8\times 10^{-19}\ J[/tex]

Let [tex]\lambda[/tex] is the wavelength of the photon. The energy of a photon is given by :

[tex]E=\dfrac{hc}{\lambda}[/tex]

[tex]\lambda=\dfrac{hc}{E}[/tex]  

[tex]\lambda=\dfrac{6.63\times 10^{-34}\times 3\times 10^8}{4.8\times 10^{-19}}[/tex]        

[tex]\lambda=4.143\times 10^{-7}\ m[/tex]

So, the wavelength of the photon is [tex]\4.143\times 10^{-7}\ m[/tex]. Hence, this is the required solution.