Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NEETPhysicsCenter of Mass, Momentum and Collision

A ball of mass m moving with speed v strikes a rigid surface. Match the collision scenarios in List-I with the magnitude of impulse imparted to the ball in List-II. (A) Strikes normally and rebounds perfectly (I) mv (B) Strikes at 30^ to the normal and rebounds perfectly (II) 2mv (C) Strikes at 60^ to the normal and rebounds perfectly (III) 3 mv (D) Strikes at 45^ to the normal and rebounds perfectly (IV) 2 mv Choose

Options

  1. A(A)-(II), (B)-(I), (C)-(III), (D)-(IV)
  2. B(A)-(II), (B)-(IV), (C)-(III), (D)-(I)
  3. C(A)-(II), (B)-(III), (C)-(I), (D)-(IV)
  4. D(A)-(I), (B)-(III), (C)-(II), (D)-(IV)

Correct answer

C. (A)-(II), (B)-(III), (C)-(I), (D)-(IV)

Step-by-step solution

When a ball strikes a rigid surface at an angle with the normal and rebounds perfectly (elastically) with the same speed v at the same angle, the change in momentum is only along the normal direction. The magnitude of impulse imparted is given by: J = | p| = 2mv (A) Strikes normally ( = 0^ ): J = 2mv (0^ ) = 2mv (Matches II) (B) Strikes at 30^ to the normal ( = 30^ ): J = 2mv (30^ ) = 2mv ( 3 2 ) = 3 mv (Matches III) (C) Strikes at 60^ to the normal ( = 60^ ): J = 2mv (60^ ) = 2mv ( 1 2 ) = mv (Matches I) (D) Strik

Practice Center of Mass, Momentum and Collision on Quantrex Academy →

More from Center of Mass, Momentum and Collision

A frictionless circular wire of unit radius is fixed on the horizontal plane. Two point particles of unit mass start moving simultaneously from point A ( = 2 ) with identical unifo 2026Bob B of mass m at rest is hanging vertically from the ceiling via a massless string of length 10 m, as shown in the figure. Point mass A of mass m travelling horizontally with spe 2026A ball of mass 0.5 kg is dropped from a height of 40 m . The ball hits the ground and rises to a height of 10 m . The impulse imparted to the ball during its collision with the gro 2025Two bodies A and B of same mass undergo completely inelastic one dimensional collision. The body A moves with velocity v₁ while body B is at rest before collision. The velocity of 2024Two particles A and B initially at rest, move towards each other under mutual force of attraction. At an instance when the speed of A is v and speed of B is 3 v , the speed of cent 2023A 1 ~kg object strikes a wall with velocity 1 ~ms ⁻¹ at an angle of 60^ with the wall and reflects at the same angle. If it remains in contact with wall for 0.1 ~s , then the force 2023A bullet of mass m hits a block of mass M elastically. The transfer of energy is the maximum, when 2023A shell of mass m is at rest initially. It explodes into three fragments having mass in the ratio 2 : 2 : 1 . If the fragments having equal mass fly off along mutually perpendicula 2022 Full Center of Mass, Momentum and Collision list All NEET PYQs