QJEEM20Ch819f: JEE Main 2020 Chemistry - Class 11 JEEM20Ch819f Solution: The difference between the radii of 3 rd and 4 th orbits of Li…

Question

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The difference between the radii of 3^rd and 4^th
orbits of Li²⁺ is R₁ . The difference between the
radii of 3^rd and 4^th orbits of He⁺ is

\Delta

R₂ .
Ratio

\Delta

R₁ :

\Delta

R₂ is :

Accepted Answer

R_n = a₀

{{{n^2}} \over Z}

{{\Delta {R_1}} \over {\Delta {R_2}}} = {{{{\left( {{r_4} - {r_3}} \right)}_{L{i^{2 + }}}}} \over {{{\left( {{r_4} - {r_3}} \right)}_{H{e^ + }}}}}

=

{{{{{4^2}} \over 3} - {{{3^2}} \over 3}} \over {{{{4^2}} \over 2} - {{{4^2}} \over 2}}}

=

{{7/3} \over {7/2}} = {2 \over 3}

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