The difference between the radii of 3 rd and 4 th orbits of Li 2+ is Δ R 1 . The difference between the radii of 3 rd and 4 th orbits of He + is Δ R 2. Ratio Δ R 1: Δ R 2 is :

Question

The difference between the radii of 3 rd and 4 th orbits of Li 2+ is Δ R 1 . The difference between the radii of 3 rd and 4 th orbits of He + is Δ R 2. Ratio Δ R 1: Δ R 2 is : (A) 8: 3 (B) 3: 2 (C) 3: 8 (D) 2: 3

Tardigrade Admin · Accepted Answer

(Δ R1/Δ R2)=((r4-r3)42+/(r4-r3)H e+) =((42/3)-(32/3)/(42)2-(32)2 =(7 / 3/7 / 2)=(2/3)

Q. The difference between the radii of $3^{r d}$ and $4^{t h}$ orbits of $L i^{2 +}$ is $Δ R_{1} .$ The difference between the radii of $3^{r d}$ and $4^{t h}$ orbits of $H e^{+}$ is $Δ R_{2}$ . Ratio $Δ R_{1} : Δ R_{2}$ is :

$8 : 3$

$3 : 2$

$3 : 8$

$2 : 3$

$\frac{Δ R _{1}}{Δ R _{2}} = \frac{( r _{4} - r _{3} ) _{4^{2 +}}}{( r _{4} - r _{3} ) _{H e^{+}}}$

$= \frac{\frac{4 ^{2}}{3} - \frac{3 ^{2}}{3}}{\frac{4 ^{2}}{2} - \frac{3 ^{2}}{2}}$

$= \frac{7/3}{7/2} = \frac{2}{3}$

Q. The difference between the 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 :

8:3

3:2

3:8

2:3