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JEE Main 20208 JanuaryEvening Shift
Exam
JEE Main
Year
2020
Date
8 January
Shift
Evening Shift
Subject
Chemistry
Chapter
s Block Elements

JEE Main 2020 · 8 January · Evening Shift · Chemistry · s Block Elements

The radius of the second Bohr orbit, in terms of the Bohr radius, a...

The radius of the second Bohr orbit, in terms of the Bohr radius, a0,{a}_{0}, in Li2+{Li}^{2 +} is:

Options

  1. A2a03\dfrac{2{a}_{0}}{3}
  2. B4a09\dfrac{4{a}_{0}}{9}
  3. C4a03\dfrac{4{a}_{0}}{3}
  4. D2a09\dfrac{2{a}_{0}}{9}

Correct answer

C. 4a03\dfrac{4{a}_{0}}{3}

Step-by-step solution

Radius of Bohr's orbit is given as,

r=a0n2Zr = \dfrac{{a}_{0}{n}^{2}}{Z}

n = orbit number

Z = atomic number

For 2nd{2}^{nd} Bohr's orbit of Li2+{\text{Li}}^{\text{2+}}

Li2+,r=a0(2)23=4a03{Li}^{2 +}, r = \dfrac{{a}_{0}{\left(2\right)}^{2}}{3} = \dfrac{4{a}_{0}}{3}

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