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

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

A

–0.54 Ev

B

–5.40 eV

C

–0.85 eV

D

–2.72 eV

Answer

–0.54 Ev

Explanation

Solution

En = E1E_{n}\text{ = }\text{E}_{1}

E5 = - 13.6 ×(1)2(5)2 = - 0.54 eVE_{5}\text{ = - 13.6 }\text{×}\frac{(1)^{2}}{(5)^{2}}\text{ = - 0.54 eV}