Question

Difficulty: EasyScalars and Vectors

Match each physical quantity on the left with its correct physical definition and scalar or vector classification on the right.

  • Work DoneScalar quantity defined as the product of force and displacement in the direction of the force
  • AccelerationVector quantity defined as the rate of change of velocity with time
  • Electric PotentialScalar quantity defined as the work done per unit positive charge in bringing it from infinity
  • ForceVector quantity defined as the rate of change of linear momentum with time

Answer

Work Done matches with Scalar quantity defined as the product of force and displacement in the direction of the force; Acceleration matches with Vector quantity defined as the rate of change of velocity with time; Electric Potential matches with Scalar quantity defined as the work done per unit positive charge in bringing it from infinity; Force matches with Vector quantity defined as the rate of change of linear momentum with time.
Work Done matches the scalar definition involving force and displacement. Acceleration matches the vector definition representing rate of change of velocity. Electric Potential matches the scalar definition of work per unit charge. Force matches the vector definition representing rate of change of momentum.

Step-by-Step Solution

1
Classify each physical quantity as a scalar (has magnitude only) or a vector (has both magnitude and direction).
Work Done and Electric Potential are scalar quantities. Acceleration and Force are vector quantities.
Scalars require only numerical value and unit, whereas vectors require direction to be fully specified.
2
Match each physical quantity with its precise physical definition.
Work Done corresponds to force multiplied by displacement in the line of action; Acceleration corresponds to velocity change per unit time; Electric Potential corresponds to work done per unit charge; Force corresponds to rate of change of momentum.
Each definition uniquely identifies the fundamental physical relationship for that quantity.

Key Concept

Classification of physical quantities into scalars and vectors based on their directional properties and definitions
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