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The radius of the first Bohr orbit of hy...

The radius of the first Bohr orbit of hydrogen is `a_0`. The radius of the third orbit would be :

A

`3a_0`

B

`6a_0`

C

`9a_0`

D

`27a_0`

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The radius of the first orbit of H-atom is 0.53 Å. Find the radius of the fifth orbit.

The gravitational attraction between electron and proton in a hydrogen atom is weaker than the coulomb attraction by a factor of about 10^(-40) . An alternative way of looking at this fact is to estimate the radius of the first Bohr orbit of a hydrogen atom if the electron and proton were bound by gravitational attraction. You will find the answer interesting.

Knowledge Check

  • The radius of the first bohr orbit of hydrogen atom is 0.529 overset0A . The rdius of the third orbit of H^+ will be

    A
    8.46`overset0A`
    B
    0.705`overset0A`
    C
    1.59`overset0A`
    D
    4.79`overset0A`

  • If the radius of 2nd Bohr orbit of H-atom is r_2 the radius of third Bohr orbit of H-atom?

    A
    `(4/9)/r_2`
    B
    `4r_2`
    C
    `(9/4)r_2`
    D
    `9r_2`

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