Comprehension
The first demonstration of the stereochemistry of the `S_(N^2)` reaction was carried out in 1934 by Prof. E.D Hughes and his colleagues at the University of London. They allowed (R) -2- iodooctane to react with radioactive iodide ion `(""^(**)I-)`

The rate of substitution (rate constant `K_5`) was determined by measuring the rate of incorporation of radioactivity into the alkyl halide. The rate of loss of optical acitivity from the alkyl halide (rate constant `K_0`) was also determined under the same conditions:
What ratio `K_0//K_s` is predicted for each of the following stereochemical scenarios :
For inversion reaction :

Options

A. `(K_O)/(K_S) = 1`
B. `(K_O)/(K_S) lt 1`
C. `(K_O)/(K_S) gt 1`
D. can not be predicted

Explanation

A-c,