A block of mass `m_(2)` is placed on a horizontal table and another block of mass `m_(1)` is placed on top of it. An increasing horizontal force `F=alpha t` is exerted on the upper block but the lower block never moves as a result .If the co-efficient of friction between the blocks is `mu_(1)` and that between the lower block and the table is `mu_(2)`, then what is the maximum possible value of `mu_(1)//mu_(2)`?

Options

A. `(mu_(2))/(m_(1))`
B. `1+(m_(2))/(m_(1))`
C. `(m_(1))/(m_(2))`
D. `1+(m_(1))/(m_(2))`