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The enregy, radius and velocity of the e...

The enregy, radius and velocity of the electron in the hydrogen atom in the ground state are `-13.6 eV, 0.53 Å` and `2.188 xx 10^(8) m s^(-1)` respectively.
In which orbit of `He^(+)` the electron will have same velocity

A

1st

B

2nd

C

4th

D

none

Text Solution

Verified by Experts

The correct Answer is:
D
For hydrogen like particle, `r_(n)=r_(0)=(n^(2))/Z`
`:. r_(He)^(+) =r_(0) xx(n^(2))/2=0.53 (n^(2))/2 Å`
or `0.53xx(n^(2))/2=0.53` or `n^(2)=2` or n=1.4
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Knowledge Check

  • The energy, radius and velocity of the electron in the hydrogen atom in the ground state are -13.6 eV, 0.53 Å and 2.188 xx 10^(8) ms^(-1) respectively. In which orbit of H^(+) the electron will have same velocity ?

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    D
    none

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