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An electron is revolving around a nucleu...

An electron is revolving around a nucleus of hydrogen atom in the first orbit. The radius of this orbit is 0.53 A. Choose the correct option(s)

A

The radius of the first orbit of hydrogen-like atom `He^(+)` is `1.06 Å`

B

The radius of the first orbit of hydrogen-like atom `He^(+)` is` 0.265 Å`

C

The energy of the electron of hydrogen-like atom `He^(+)` in the first orbit is `-13 eV`

D

The energy of the electron of hydrogen-like atom `He^(+)` in the first orbit is `-54.4` eV

Text Solution

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The correct Answer is:
B, D
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Knowledge Check

  • An electron orbiting around the nucleus of an atom

    A
    has a magnetic dipole moment
    B
    exerts an electric force on the nucleus equal to that on it by the nucleus
    C
    does produce a magnetic induction at the nucleus
    D
    has a net energy inversely proportional to its distance from the nucleus.

  • An electron revolves around the nucleus of an atom in a circular orbit of radius 4 Å with a speed of 5xx 10^(6)m//s . What is the angular momentum of the electron ? [ m_(e) = 9 xx 10^(-31) kg ].

    A
    `2xx10^(-33)" kg m"^(2)//s`
    B
    `1.8xx10^(-33)" kg m"^(2)//s`
    C
    `3xx10^(-32)" kg m"^(2)//s`
    D
    `0.8xx10^(-34)" kg m"^(2)//s`

  • The radius of first Bohr orbit in H-atom is 0.53 Å. The radius of third orbit is

    A
    7.44 Å
    B
    7.47 Å
    C
    47.7 Å
    D
    4.77 Å

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