Physics · JEE | LAWS OF MOTION

What is the maximum acceleration of a train in which a box lying on its floor remains stationary, given that the coefficient of static friction between the box and the train floor is \( \mu_s \) and acceleration due to gravity is \( g \)?

1. A
   \( a_{\max} = \frac{g}{\mu_s} \)
2. B
   \( a_{\max} = \mu_s g \)
3. C
   \( a_{\max} = \sqrt{\mu_s g} \)
4. D
   \( a_{\max} = \mu_s^2 g \)