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Find the radius of Li^(++) ions in its g...

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

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To find the radius of the `Li^(++)` ion in its ground state using Bohr's model, we can follow these steps: ### Step 1: Understand the formula for the radius of a hydrogen-like atom The radius of the nth orbit for a hydrogen-like atom is given by the formula: \[ r_n = \frac{n^2 a_0}{Z} \] ...
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Taking the Bohr radius a_(0) = 53 pm, the radius of Li^(++) ion in its ground state, on the basis of Bohr's model, will be about.

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Knowledge Check

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

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

  • The electron in hydrogen atom makes a transition n_(1)ton_(2) where n_1 and n_2 are the principal quantum number of two states. Assuming the Bohr model to be valid, the time period of the electron in the initial state is eight times that in the final state. The possible value of n_1 and n_2 are:

    A
    `n_1=4,n_2=2`
    B
    `n_1=8,n_2=2`
    C
    `n_1=8,n_2=1`
    D
    `n_1=6,n_2=2`

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