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Which hydrogen -like species will have ...

Which hydrogen -like species will have the same r adius as that of Bohr orbit of hydrogen atom ?

A

`n = 2,Li^(2+)`

B

`n = 2,Be^(3+)`

C

`n = 2,He^(Theta)`

D

`n = 3,Li^(2+)`

Text Solution

Verified by Experts

The correct Answer is:
B

`r = 0.529 xx (n^(2))/(Z) Å`
For Bohr's orbit of H ltBRgt `R_(h) = 0.529 XX (1^(2))/(1) = 0.529 Å`
`For n = 2, Be^(3+)`
`r_(H) = 0.529 xx (Z^(2))/(4) = 0.529 Å`
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Knowledge Check

  • Which hydrogenlike species will have the same radius as that of the Bohr orbit of the hydrogen atom?

    A
    `n=2,Li^(2+)`
    B
    `n=2,Be^(3+)`
    C
    `n=2,He^(+)`
    D
    `n=3,Li^(2+)`
  • Radius of Bohr's orbit of hydrogen atom is

    A
    `0.24 Å`
    B
    `0.48 Å`
    C
    `0.53 Å`
    D
    `1.06 Å`
  • The radius of 2nd Bohr.s orbit of hydrogen atom is :

    A
    0.053 nm
    B
    0.106 nm
    C
    0.2116 nm
    D
    0.4256 nm
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