Question

Calculate the value of Rydberg constant.

Answer 1

Using the value of 9.108 × 10⁻²⁸ gm for the mass of an electron, the Bohr Theory Predicts the following value of .

R = 2² me⁴/h³ = {2 × (3.1416)² × (9.108 × 10⁻²⁸ gm) × (4.8 × 10⁻¹⁰ esu)}/(6.627 × 10⁻²⁷ erg sec)³ = 3.2898 × 10¹⁵ cycles/sec

Evaluate R in terms of wave number (⊽ ) instead of frequency. Wave number and frequency are connected with, = c and = c/ = c⊽

Thus ⊽ = /c

where c is the velocity of light. Recall the frequency () indicates the number of waves passing a given point per second and is expresses as cycles per second. Wave number (⊽) on the other hand stands for the number of waves connected in unit length that is per centimeter (cm⁻¹) or per metre (m⁻¹).

Answer 2

the value of rydberg constant is 109677 or 2.18 *10^18 J