A block of mass `m_(2)` is placed on a horizontal table and another block of mass `m_(1)` is placed on top is it. An increasing horizontal force `F = alpha t` is exerted on the upper block but the lowwer block never moves as a result. If the coefficient of friction between the blocks is `mu_(1)` coefficient 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. `(m_(2))/(m_(1))`
B. `1+ (m_(2))/(m_(1))`
C. `(m_(1))/(m_(2))`
D. `1+ (m_(1))/(m_(2))`

Answer

B