A van is moving with a speed of 108 ~km / hr on a level road where the coefficient of friction between the tyres and the road is 0.5 . For the safe driving of the van, the minimum radius of curvature of the road shall be (Acceleration due to gravity, g=10 ~m / s ^2 )

Step-by-step solution

The correct option is (B). Concept: For safe driving, the centripetal force must be less than limiting friction otherwise the vehicle will skid away from the road. Mathematically it can be written as mv r mg where m is the mass, v is the velocity, is the coefficient of friction and g is the acceleration due to gravity. On plugging the values given in the question, r_ = v^2 g = 30^2 0.5 10 =180 ~m