ChemistryThe radius of the second Bohr orbit for hydrogen atom is (planck’s constant (h) = 6.6262×10−34Js mass of electron = 9.1091×10−31Kgcharge of electron ; (e)=1.6021×10−19Cpermittivity of vacum (∈0)=8.854185×10−12Kg−1m3A2

The radius of the second Bohr orbit for hydrogen atom is (planck’s constant (h) = 6.6262×1034Js mass of electron = 9.1091×1031Kgcharge of electron ; (e)=1.6021×1019Cpermittivity of vacum (0)=8.854185×1012Kg1m3A2

  1. A

    1.65Å

  2. B

    4.76Å

  3. C

    0.529Å

  4. D

    2.12Å

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    Solution:

    Bohr radius  (rn)  =0n2h2

    rn=n2h24π2me2kZ

    k=14π0

                                rn=n2h20πme2Z=n2a0Z

    Where, m = mass of electron

                             e = charge of electron

                             h = Planck’s constant

                             k = Coulomb constant

    rn=n2×0.53ZÅ

    Radius of  nth  Bohr orbit for H – atom = 0.53 n2Å

    Radius of 2nd Bohr orbit for H – atom 

    =0.53×(2)2=2.12Å

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