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The energy and radius of electron presen...

The energy and radius of electron present in second orbit of `He^+` respectively are

A

`-2.18 times 10^-18 J, 105.8 pm`

B

`-4.36 times 10^-18 J, 52.9 pm`

C

`-1.09 times 10^-18 J, 105.8 pm`

D

`-8.72 times 10^-18 J, 211.6 pm`

Text Solution

Verified by Experts

The correct Answer is:
A

Answer(1) Energy of an electron, `E_n = -13.6 z^2/n^2 eV`
For He atom, Z = 2 .
` E_n = -13.6 (2)^2/(2)^2 eV` .
= `-13.6 (1.6 xx 10^-19J) [because 1eV = 1.6 xx 10^-19J]` .
`therefore "Energy", E_n = -2.18 xx 10^-18 J`.
Radius of an electron, r = `0.529 xx n^2/ z A^@` .
= `0.529 xx (2^2)/1 xx 10^2 pm` .
[`therefore 1A^@ = 10^2 pm`] .
`therefore Radius, r = 105.8pm`
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Knowledge Check

  • The number of electrons present in outer most orbit of an atom is called …………… electrons.

    A
    valency
    B
    paried
    C
    unpaired
    D
    love pair
  • Maximum number of electrons may be present in one 4f-orbital

    A
    2
    B
    4
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    7
    D
    14
  • What would be the radius of second orbit of He^(+) ion ?

    A
    `1.058 A^(@)`
    B
    `3.023 A^(@)`
    C
    `2.068 A^(@)`
    D
    `4.458 A^(@)`
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