NEET Physics: vehicle on a banked road Practice Questions

Q1. What is the role of friction in a vehicle moving on a banked road?

• AIt provides the necessary horizontal force to maintain equilibrium.
• BIt increases the necessary banking angle.
• CIt is entirely balanced by the banking force.
• DIt ensures the vehicle moves at the ideal speed.

Q2. If the static friction between the vehicle and the road is acting, how does it contribute to the required centripetal force when negotiating a banked road?

• AIt opposes the tendency of motion
• BIt reduces the required centripetal force
• CIt provides the necessary horizontal force component
• DIt causes the vehicle to slow down

Q3. For a vehicle negotiating a banked curve, if the actual speed is greater than the ideal speed for zero friction, what effect does this have on the forces acting on the vehicle?

• AThe normal force becomes zero
• BThe vehicle tends to slide outward
• CThe horizontal force becomes zero
• DThe static friction must be increased

Q4. For a vehicle moving on a banked road, which force is responsible for providing the necessary centripetal force towards the center of the curve?

• AStatic friction
• BTension force
• CNormal force
• DComponent of gravitational force

Q5. For a vehicle moving at the ideal speed on a banked road, the angle of banking (θ) is related to the speed (v) and acceleration due to gravity (g) by the formula:

• Av = √(rgcos θ)
• Bv = √rg
• Cv = √(rgtan θ)
• Dv = √(rgsin θ)

Q6. Which of the following statements correctly describes the relationship between the speed and the banking angle for safe travel on a banked road?

• AThe ideal speed is achieved when the horizontal component of the reaction force equals the required centripetal force.
• BThe speed must be greater than the ideal speed to ensure safety.
• CThe required speed depends only on the banking angle.
• DThe safety depends on the friction coefficient, not the speed.

Q7. When a vehicle moves on a banked road, the normal reaction force provides the necessary centripetal force in the direction of the road. This scenario assumes:

• AThe road is perfectly horizontal
• BThe presence of friction is zero
• CThe banking angle is zero
• DThe vehicle is moving at the minimum possible speed

Q8. In the context of a vehicle moving on a banked road, which force provides the necessary centripetal force directed towards the center of the curve?

• AThe component of gravity acting parallel to the road
• BNormal force only
• CThe horizontal component of the normal force
• DStatic friction only

Q9. In the case of a vehicle moving on a banked road, if the road is banked at an angle θ and there is no friction, what is the relationship between the banking angle and the speed of the vehicle required for equilibrium?

• Atan θ= v / (rg)
• Btan θ= v² / (rg)
• Ctan θ= g / v
• Dtan θ= v² / rg

Q10. If the vehicle travels on a banked road at a speed less than the ideal speed, the tendency of the vehicle is to:

• ASlide up the incline
• BSlip towards the outer edge
• CSlide down the incline
• DAccelerate horizontally

Q11. When a vehicle is moving on a banked road at a specific velocity, the force providing the necessary centripetal acceleration is primarily derived from which component of the forces involved?

• AThe vertical component of the normal force
• BThe kinetic friction force
• CThe tangential component of the motion
• DThe horizontal component of the normal force

Q12. A vehicle of mass m moves on a road banked at an angle θ with a coefficient of friction μ. What is the condition for the vehicle to move without slipping on the road?

• AThe horizontal component of the resultant force must balance the required centripetal force.
• BThe angle of banking must be equal to the angle of repose of the road surface.
• CThe horizontal component of the static friction must be zero.
• DThe horizontal component of the normal force must equal the required centripetal force.

Q13. The normal force acting on a vehicle on a banked road is related to the weight of the vehicle and the angle of banking by which formula?

• AN = mg / sin θ
• BN = mg cos θ
• CN = mg / tan θ
• DN = mg / cos θ

Q14. A vehicle moves on a banked road. What is the primary force that keeps the vehicle moving in a circular path (or along the banked curve)?

• AFriction force only
• BNormal force only
• CGravity only
• DHorizontal component of the normal force