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Introduction to d and f Block Elements

Taking the Bo...

Question

Taking the Bohr radius as $a_{0} = 53 p m$ , the radius of $L i^{+ +}$ ion in its ground state, on the basis of Bohr’s model, will be about

27 p m

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18 p m

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53 p m

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13 p m

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Solution

The correct option is B $18 p m$

As we know that the radius of an atom in its ground state is given by

$r = \frac{a_{o}}{Z}$ … $(i)$

where $a_{o}$ is Bohr’s radius, and $Z$ is atomic number.

Given: $a_{o} = 53 p m$

Atomic number $(Z)$ of lithium is $3$ .

By putting the values in equation $(i)$ , we have

Therefore,
$r = \frac{53}{3} = 17.67 p m \approx 18 p m$ .

$Final Answer :$ (c)

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Introduction to d and f Block Elements

Standard XII Chemistry

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Taking the Bohr radius as a0=53 pm, the radius of Li++ ion in its ground state, on the basis of Bohr’s model, will be about

Taking the Bohr radius as $a_{0} = 53 p m$ , the radius of $L i^{+ +}$ ion in its ground state, on the basis of Bohr’s model, will be about