Question

Evaluate Rydberg constant by putting the values of the fundamental constants in its expression.

Answer 1

Rydberg's Constant

$M_e=9.1\times {10}^{31}kg$

R = $\frac{m{e}^4}{8h^{2}c{ϵ}_0^2}$

Since e = $1.6\times {10}^{-19}C$

h = $6.63\times {10}^{34}J-S,$

C= $3\times {10}^{8}m/s,$

${ϵ}^0=8.85\times {10}^{12}$

or

R = $\frac{9.1\times {10}^{31}\times (1.6\times {10}^{-19})4}{8\times (6.63\times {10}^{-34})3\times 3\times {10}^8\times (8.85\times {10}^{-12})2}$

= 1.097 $\times {10}^7{m}^{-1}$