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Calculate the radius of the first Bohr o...

Calculate the radius of the first Bohr orbit for the hydrogen atom
Strategy: The radius of the first Bohr orbit for the `H`atom can be obtained directly from Eq.

Text Solution

Verified by Experts

Assume `n = 1`, take `Z = 1`, and insert the values of the constants to obtain
`r_(1) = ((1)^(2)(6.63xx10^(-27) ergs^(2)))/(4(3.14)^(2)(9.11xx10^(-28)g)(1)(4.8xx10^(-10)esu)^(2))`
`= 0.529 xx 10^(-8)cm = 0.529Å = 52.9 pm`
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Knowledge Check

  • The radius of the first Bohr orbit for H^(o+) is

    A
    `0.529 Å`
    B
    `0.264 Å`
    C
    `0.132 Å`
    D
    `0.176 Å`

  • The radius of the first Bohr orbit of hydrogen atom is r. The radius of the 3rd orbit would be

    A
    3r
    B
    9r
    C
    27r
    D
    none of these

  • The radius of the first Bohr orbit of hydrogen atom is 0.529Å . The radius of the third orbit of H will be:

    A
    `8.46Å`
    B
    `0.705Å`
    C
    `1.59Å`
    D
    `4.76Å`

    • Similar Questions

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    The radius of the first Bohr orbit in the hydrogen atom is ro. The radius of the third Bohr in the hydrogen atom will be_______ .

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