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two electron are revolving around a nucl...

two electron are revolving around a nucleus at distance `t and `4 r`. The ratio of their periods is

A

`1:4`

B

`4:1`

C

`8:1`

D

`1:8`

Text Solution

Verified by Experts

The correct Answer is:
D
`T^(2) prop R^(3)`
`(T_(R))/(T_(4 R)) = (R /(4 R))^(3//2) =(1/4)^(3//2)= (1)/(8)`
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Knowledge Check

  • Two electrons are revolving around a nucleus at distances r and 4r. The ratio of their time periods is:

    A
    `1:4`
    B
    `4:1`
    C
    `8:1`
    D
    `1:8`

  • 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 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
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    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

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