What is frequency of light is emitted when an electron jumps into the smallest orbit of hydrogen, coming from a very large radius (assume infinity)?

Respuesta :

Answer:

[tex]3.28403\times 10^{15}\ Hz[/tex]

Explanation:

[tex]n_1[/tex] = 1

[tex]n_2=\infty[/tex]

h = Planck's constant = [tex]6.626\times 10^{-34}\ m^2kg/s[/tex]

The energy is given by

[tex]E(n)=E_1(\dfrac{1}{n_1^2}-\dfrac{1}{n_2^2})\\\Rightarrow E(1)=13.6\ eV[/tex]

Energy is also given by

[tex]E=hf\\\Rightarrow f=\dfrac{E}{h}\\\Rightarrow f=\dfrac{13.6\times 1.6\times 10^{-19}}{6.626\times 10^{-34}}\\\Rightarrow f=3.28403\times 10^{15}\ Hz[/tex]

The frequency of light emitted would be [tex]3.28403\times 10^{15}\ Hz[/tex]