The inversion of a sugar follows first order rate equation which can be followed by noting the change in the rotation of the plane of polarization of light in the polarimeter. If `r_(oo), r_(f)` and `r_(0)` are the rotations at `t = oo, t = t`, and `t = 0`, then the first order reaction can be written as
A. `k=(1)/(t)log_(e).(r_(t)-r_(oo))/(r_(0)-r_(oo))`
B. `k=(1)/(t)log_(e).(r_(0)-r_(oo))/(r_(t)-r_(0))`
C. `k=(1)/(t)log_(e).(r_(oo)-r_(0))/(r_(oo)-r_(t))`
D. `k=(1)/(t)log_(e).(r_(oo)-r_(t))/(r_(oo)-r_(0))`