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The energy of an electron in the 3rd orb...

The energy of an electron in the 3rd orbit of H- atom ( in J ) is approximately.

A

`-2.18xx10^(16)`

B

`-2.42xx10^(19)`

C

`-1.21xx10^(19)`

D

`-3.63x10^(-19)`

Text Solution

Verified by Experts

The correct Answer is:
B

`E_n = (-13.6)/(n^2 ) "ev | electron."`
`= (-13.6(1.6 xx 10^(-19) )/((3)^2) (therefore 1 eV = 1.6 xx 10^(-19) J)`
`= (-2.176 xx 10^(-18))/(9)`
`therefore En = -2.4177 xx 10^(-19) ~~ -2.42 xx 10^(-19)`
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Knowledge Check

  • Energy of an electron in nth Bohr orbit is given as

    A
    `-(n^2 h^2)/(4pi^2 mZe^2)`
    B
    `-(2pi^2 Z^2 me^4)/(n^2 h^2)`
    C
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    `-4.2 eV`
    C
    `-6.8 eV`
    D
    `+6.8 eV`
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    `-(n^(2)h^(2))/(4pi^(2)mZe^(2))`
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    `-(2pi^(2)Z^(2)me^(4))/(n^(2)h^(2))`
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