The difference between radii of 3rd and 4th orbits of Li2- is - R1- The difference between the radii of 3rd and 4th orbits of He- is - R2- Ratio - R1- R2 is

R_n=a_0n^2Z r_n∝n^2Z r_3(Li^2+)∝3^2Z_Li^2+ r_4(Li^2+)∝4^2Z_Li^2+ Δ R_1=r_4 r_3 nbsp;∝ nbsp; 4^2 3^2Z_Li^2+ Similarly for He^+ Δ R_2=r_4 r_3 nbsp;∝ nbsp ...

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Standard XII

Chemistry

Orbital Diagrams

The differenc...

Question

The difference between radii of 3rd and 4th orbits of $L i^{2 +} is Δ R_{1}$ . The difference between the radii of 3rd and 4th orbits of $H e^{+} is Δ R_{2}$ . Ratio $Δ R_{1} : Δ R_{2}$ is

3 : 2

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8 : 3

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2 : 3

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3 : 8

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Solution

The correct option is C 2 : 3
$r_{n} = a_{0} \frac{n^{2}}{Z}$

$r_{n} \propto \frac{n^{2}}{Z}$
$r_{3} (L i^{2 +}) \propto \frac{3^{2}}{Z_{L i^{2 +}}}$
$r_{4} (L i^{2 +}) \propto \frac{4^{2}}{Z_{L i^{2 +}}}$
$Δ R_{1} = r_{4} - r_{3} \propto \frac{4^{2} - 3^{2}}{Z_{L i^{2 +}}}$
Similarly for $H e^{+}$
$Δ R_{2} = r_{4} - r_{3} \propto \frac{4^{2} - 3^{2}}{Z_{H e^{+}}}$
$∴ \frac{Δ R_{1}}{Δ R_{2}} = \frac{Z_{H E^{+}}}{Z_{L i^{2 +}}} = \frac{2}{3}$
Hence, (c) is the correct option

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The difference between radii of 3rd and 4th orbits of Li2+ is ΔR1. The difference between the radii of 3rd and 4th orbits of He+ is ΔR2. Ratio ΔR1:ΔR2 is

The correct option is C 2 : 3rn=a0n2Z rn∝n2Z r3(Li2+)∝32ZLi2+ r4(Li2+)∝42ZLi2+ ΔR1=r4−r3∝42−32ZLi2+ Similarly for He+ ΔR2=r4−r3∝42−32ZHe+ ∴ ΔR1ΔR2=ZHE+ZLi2+=23 Hence, (c) is the correct option

The difference between radii of 3rd and 4th orbits of $L i^{2 +} is Δ R_{1}$ . The difference between the radii of 3rd and 4th orbits of $H e^{+} is Δ R_{2}$ . Ratio $Δ R_{1} : Δ R_{2}$ is