Calculate the radius ratio of 2nd orbit of hydrogen and 3rd orbit of L

1.	Calculate the radius ratio of 2nd orbit of hydrogen and 3rd orbit of Li+2.
Answer» We have to calculate the ratio of RADIUS of 2nd orbit of hydrogen to 3rd orbit of Li²⁺ ion. solution : according to BOHR's theory, radius of nth orbit is given by, r = 0.529 × n²/Z A° so the radius of 2nd orbit of hydrogen atom. Z = 1, N = 2 so, r = 0.529 × (2)²/1 = 0.529 × 4 ....(1) the radius of 3rd orbit of Li²⁺ ion, Z = 3 , n = 3 so, R = 0.529 × (3)²/3 = 0.529 × 3 ....(2) from equations (1) and (2) we get, r/R = 0.529 × 4/0.529 × 3 = 4/3 Therefore the ratio of the radius of 2nd orbit of hydrogen to 3rd orbit of Li²⁺ ion.

Calculate the radius ratio of 2nd orbit of hydrogen and 3rd orbit of Li+2.

Answer»

We have to calculate the ratio of RADIUS of 2nd orbit of hydrogen to 3rd orbit of Li²⁺ ion.

solution : according to BOHR's theory,

radius of nth orbit is given by, r = 0.529 × n²/Z A°

so the radius of 2nd orbit of hydrogen atom.

Z = 1, N = 2

so, r = 0.529 × (2)²/1 = 0.529 × 4 ....(1)

the radius of 3rd orbit of Li²⁺ ion,

Z = 3 , n = 3

so, R = 0.529 × (3)²/3 = 0.529 × 3 ....(2)

from equations (1) and (2) we get,

r/R = 0.529 × 4/0.529 × 3 = 4/3

Therefore the ratio of the radius of 2nd orbit of hydrogen to 3rd orbit of Li²⁺ ion.