Question

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)?

Answer 1

Answer:

$3.28403\times 10^{15}\ Hz$

Explanation:

$n_1$ = 1

$n_2=\infty$

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

The energy is given by

$E(n)=E_1(\dfrac{1}{n_1^2}-\dfrac{1}{n_2^2})\\\Rightarrow E(1)=13.6\ eV$

Energy is also given by

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

The frequency of light emitted would be $3.28403\times 10^{15}\ Hz$