What is the energy in electron-volts (eV) of a photon of green light that has a wavelength of 520 nm? (1.0 m = 1.0 × 10^-9m)

3.8 × 10^-19eV
3.4 × 10^-40eV
2.4eV
2.2 × 10^-21eV

Respuesta :

Answer:

The energy of a photon is [tex]3.8\times10^{-19}\ eV[/tex].

Explanation:

Given that,

Wave length = 520 nm

[tex]1 nm = 1\times 10^{-9}\ m[/tex]

Using plank's equation

[tex]E =h\nu[/tex]...(I)

Here, h = plank constant

υ = frequency

Now, using wave equation

[tex]c =\lambda\times \nu[/tex]

The equation can be written as:

[tex]\nu = \dfrac{c}{\lambda}[/tex]

Here, c = speed of light

λ= wave length of light

Put the value of υ in equation (I)

The energy of photon is

[tex]E = h\times\dfrac{c}{\lambda}[/tex]

[tex]E = \dfrac{6.63\times10^{-34}\times3\times10^{8}}{520\times10^{-9}}[/tex]

[tex]E=3.8\times10^{-19}\ eV[/tex]

Hence, The energy of a photon is [tex]3.8\times10^{-19}\ eV[/tex].