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    Which of the following statements is correct? I. Momentum is a vector quantity. II. Force is a scalar quantity.
    Question

    Which of the following statements is correct?
    I. Momentum is a vector quantity.
    II. Force is a scalar quantity.

    A.

    Only II

    B.

    Only I

    C.

    Both I and II

    D.

    Neither I nor II

    Correct option is B

    Ans.(B) Only I

    Sol.

    • Momentum is a vector quantity because it has both magnitude and direction. It is defined as:
      Momentum (p) = Mass (m) × Velocity (v)
      Since velocity is a vector quantity, momentum also follows vector addition rules and has a specific direction.

    • Force is NOT a scalar quantity; it is a vector quantity. According to Newton’s Second Law:
      Force (F) = Mass (m) × Acceleration (a)
      Since acceleration is a vector, force also has both magnitude and direction, making it a vector quantity.

    Thus, Statement I is correct (momentum is a vector), but Statement II is incorrect (force is not a scalar, it is a vector).

    Information Booster:

    • Vector quantities: Have both magnitude and direction (e.g., velocity, acceleration, force, momentum).
    • Scalar quantities: Have only magnitude and no direction (e.g., mass, temperature, energy, time).
    • Newton’s Second Law: States that force causes acceleration and is given by F = ma.
    • Momentum conservation principle: In a closed system, total momentum before and after an event (like a collision) remains constant.
    • Force is measured in Newtons (N), and momentum is measured in kg·m/s.


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