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Question: The energy of hydrogen atom in its ground state is – 13.6 eV. The energy of the level corresponding ...

The energy of hydrogen atom in its ground state is – 13.6 eV. The energy of the level corresponding to the quantum number n is equal 5 is.

A

– 5.40 eV

B

– 2.72 eV

C

– 0.85 eV

D

– 0.54 eV

Answer

– 0.54 eV

Explanation

Solution

A=A0(12)tT1/2164=(12)60T1/2A = A_{0}\left( \frac{1}{2} \right)^{\frac{t}{T_{1/2}}} \Rightarrow \frac{1}{64} = \left( \frac{1}{2} \right)^{\frac{60}{T_{1/2}}}E5=13.652=13.625=0.546mueVE_{5} = \frac{- 13.6}{5^{2}} = \frac{- 13.6}{25} = - 0.54\mspace{6mu} eV