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In the question number 75, if ground sta...

In the question number 75, if ground state energy of electron is `-13.6eV` then what is the ground state energy of muonic hydrogen atom?

A

`1.8 ke V`

B

`-2.8 ke V`

C

`-3.8 ke V`

D

`4.8 ke V`

Text Solution

Verified by Experts

The correct Answer is:
B
According to bohr's atomic model energy , `Epropmtherefore (E_mu)/(E_e)=(m_mu)/(m_e)`
Here, `E_e=-13.6eV`,`m_mu=207m_e`
`therefore E_mu=(m_mu)/(m_e)E_e=(207m_e)/(m_e)xx(-13.6)Ev`
`=-2815.2eV=-2.8keV`.
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