Two blocks of masses `m_1` and `m_2` connected by a string are placed gently over a fixed inclined plane, such that the tension in the connecting string is initially zero. The coefficient of friction between `m1` and inclined plane is `mu_1`, between `m2` and the inclined plane is `mu_2`. The tension in the string shall continue to remain zero if

Options

A. `mu_1gttanalpha` and `mu_2tanbeta`
B. `mu_1lttanalpha` and `mu_2gttanbeta`
C. `mu_1gttanalpha` and `mu_2tanbeta`
D. `mu_2gttanalpha` and `mu_2gttanbeta`

Answer

C

Explanation

The tension in the string initially is zero. If `mu_1gttanalpha` and `mu_2gttanbeta`, both the blocks will not move down the incline and the tension in the string shall countinue to remain zero.