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Calculate the energy required to excite ...

Calculate the energy required to excite an electron in hydrogen atom from the ground state to the next higher state, if the ionsation energy for the hydrogen atom is `13.6 eV`.

A

2

B

3

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
C

Energy required to excite the electron from n=2 to n=3 can be calculated as :
`E_3-E_2=-(13.6)Z^2(1/3^2-1/2^2)`
`rArr 30.22=(13.6xx5Z^2)/36`
`rArr Z approx 4`.
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Knowledge Check

  • the energy required to excite an electron in hydrogen atom to its first excited state is

    A
    `8.5eV`
    B
    `10.2eV`
    C
    `12.7eV`
    D
    `13.6eV`
  • The minimum energy required to excite a hydrogen atom from its ground state is .

    A
    13.6 eV
    B
    10.2 eV
    C
    3.4 eV
    D
    1.51eV
  • The energy required to excite an electron from the ground state of hydrogen atom to the first excited state, is

    A
    `1.602 xx 10^(-14) J`
    B
    `1.619 xx 10^(-16) J`
    C
    `1.632 xx 10^(-18) J`
    D
    `1.656 xx 10^(-20) J`
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