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Elastic and Inelastic Collisions MCQs - JEE (Main) Physics

Elastic and Inelastic Collisions in One and Two Dimensions - MCQs

  1. In an elastic collision, which of the following quantities are conserved?

    • a) Kinetic energy and momentum
    • b) Kinetic energy only
    • c) Momentum only
    • d) None of the above

    Answer: a) Kinetic energy and momentum

  2. In an inelastic collision, which of the following remains constant?

    • a) Kinetic energy
    • b) Total momentum
    • c) Both kinetic energy and momentum
    • d) Neither momentum nor kinetic energy

    Answer: b) Total momentum

  3. In a perfectly elastic collision, the relative velocity of approach is equal to:

    • a) Relative velocity of separation
    • b) Zero
    • c) The initial velocity of the objects
    • d) None of the above

    Answer: a) Relative velocity of separation

  4. In a perfectly inelastic collision, the two objects:

    • a) Stick together after the collision
    • b) Bounce off each other with no loss in kinetic energy
    • c) Have the same velocities after the collision
    • d) Neither stick together nor have the same velocities

    Answer: a) Stick together after the collision

  5. Which of the following is true for an elastic collision in two dimensions?

    • a) Both momentum and kinetic energy are conserved
    • b) Only momentum is conserved
    • c) Only kinetic energy is conserved
    • d) None of the above

    Answer: a) Both momentum and kinetic energy are conserved

  6. During a perfectly elastic collision in one dimension, the velocities of two objects are related by the equation:

    • a) v1 - v2 = u2 - u1
    • b) v1 + v2 = u1 + u2
    • c) v1 - v2 = u1 + u2
    • d) None of the above

    Answer: a) v1 - v2 = u2 - u1

  7. In an elastic collision between two objects of masses m1 and m2, the relative velocity of separation is:

    • a) Always greater than the relative velocity of approach
    • b) Always equal to the relative velocity of approach
    • c) Always less than the relative velocity of approach
    • d) None of the above

    Answer: b) Always equal to the relative velocity of approach

  8. Which of the following is a characteristic of an inelastic collision?

    • a) Kinetic energy is conserved
    • b) The objects may stick together
    • c) The total momentum is not conserved
    • d) The relative velocities after the collision are equal

    Answer: b) The objects may stick together

  9. In a two-dimensional collision, the conservation of momentum applies:

    • a) Only in the x-direction
    • b) Only in the y-direction
    • c) In both the x and y directions
    • d) None of the above

    Answer: c) In both the x and y directions

  10. For an elastic collision in two dimensions, which of the following is true?

    • a) The kinetic energy is not conserved
    • b) The objects may stick together after the collision
    • c) The total momentum is conserved, and kinetic energy is conserved
    • d) Momentum is conserved, but kinetic energy is not conserved

    Answer: c) The total momentum is conserved, and kinetic energy is conserved

  11. What is the result of an inelastic collision where the objects stick together?

    • a) The system's total kinetic energy is completely conserved
    • b) The system's total momentum is conserved
    • c) The velocity of the combined mass is determined by the initial momenta of the objects
    • d) Both momentum and kinetic energy are conserved

    Answer: b) The system's total momentum is conserved

  12. In a two-dimensional elastic collision between two objects, after the collision, the direction of motion of the objects will be:

    • a) Along a single line
    • b) Along a straight path at angles to each other
    • c) In random directions
    • d) Parallel to their initial motion

    Answer: b) Along a straight path at angles to each other

  13. In an elastic collision, if one of the objects is stationary and the other is moving, the final velocities of the objects can be determined using:

    • a) Conservation of momentum only
    • b) Conservation of energy only
    • c) Both conservation of momentum and conservation of energy
    • d) None of the above

    Answer: c) Both conservation of momentum and conservation of energy

  14. In a two-dimensional inelastic collision, the objects:

    • a) Move in the same direction after the collision
    • b) Have the same final velocity
    • c) Do not conserve kinetic energy, but conserve momentum
    • d) Have different velocities after the collision

    Answer: c) Do not conserve kinetic energy, but conserve momentum

  15. In a perfectly elastic collision, the relative velocity of approach and the relative velocity of separation are:

    • a) Equal
    • b) Opposite in direction and equal in magnitude
    • c) Unrelated
    • d) Zero

    Answer: b) Opposite in direction and equal in magnitude



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