A body cools in a surrounding which is at a constant temperature of `theta_(0)` Assume that it obeys Newton's law of cooling Its temperature `theta` is plotted against time t Tangents are drawn to the curve at the points `P (theta =theta_(1))` and `Q(theta =theta_(2))` These tangents meet the time axis at angle of `phi_(2)` and`phi_(1)` as shown
.

Options

A. `(tanphi_(2))/(tanphi_(1))=(theta_(1)-theta_(0))/(theta_(2)-theta_(0))`
B. `(tanphi_(2))/(tanphi_(1))=(theta_(2)-theta_(0))/(theta_(1)-theta_(0))`
C. `(tanphi_(1))/(tanphi_(2))=(theta_(1))/(theta_(2))`
D. `(tanphi_(1))/(tanphi_(2))=(theta_(2))/(theta_(1))`

Answer

B