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Find the ratio of Li^(++) ions in its gr...

Find the ratio of `Li^(++)` ions in its ground state assuming Bohr 's model to be vaild

A

`53`pm

B

`27`pm

C

`18`pm

D

`13`pm

Text Solution

Verified by Experts

The correct Answer is:
C
The atomic number of Lithium is `3`, therefore ,the radius of `Li(++)` ion its ground state , on the basis of Bohr's model will be about `1/3` times to that of Bohr's radius .
therefore , the radius of lithium ion is near `(53)/3approx`18Pm`
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(a) Find the radius of Li(++) ions in its grounds state assuming Bohr's model to be valid. (b) Find the maximum angular speed of the electron of a hydrogen atom in a stationary orbit. (c ) Average lifetime of a H atom excited to n=2 state is 10^(-8) sec. Find the number of revolutions made by the electron on the average before it jumps to the ground state. (d) Calculate the magnetic dipole moment corresponding to the motion of the electron in the ground state of a hydrogen atom. (e) Using the known values for hydrogen atom, calculate : (i) radius of third orbit for Li^(+2) (ii) speed of electron in fourth orbit for He^(+)

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Knowledge Check

  • Find the radius of Li^(++) ions in its ground state assuming Bohr's model to be valid.

    A
    `12xx10^(-10)m`
    B
    `12xx10^(-12)m`
    C
    `16xx10^(-10)m`
    D
    `18xx10^(-12)m`.

  • Taking the Bohr radius as r_(0)=53 pm, the radius of Li^( + +) ion in its ground state, on the basis of Bohrs model, will be a about

    A
    53pm
    B
    27pm
    C
    18pm
    D
    13pm

  • Taking the Bohr radius a_(0) = 53 pm, the radius of Li^(++) ion in its gnround state, on the basis of Bohr's model, will be about.

    A
    53 pm
    B
    27 pm
    C
    18 pm
    D
    13 pm

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