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Consider the following pairs of physical quantities.  I. Distance - Displacement  II. Work - Power  III. Force - Momentum  Which among the above is/are a pair(s) in which one is a scalar quantity and the other is a vector quantity but both are measured with the same unit of measurement?

Consider the following pairs of physical quantities.  I. Distance - Displacement  II. Work - Power  III. Force - Momentum  Which among the above is/are a pair(s) in which one is a scalar quantity and the other is a vector quantity but both are measured with the same unit of measurement? Correct Answer Only I 

 CONCEPT:

  • All measurable quantities are divided into two broad categories:

Scalar quantities

Vector quantities

The physical quantities which have only magnitude and no direction are called scalar quantities or scalars.

The physical quantities which have both magnitude and direction and obey the laws of vector addition are called vector quantities or vectors.

A scalar quantity can be specified by a single number, along with the proper unit.

A vector quantity is specified by a number with a unit and its direction.

Examples: Mass, volume, density, time, temperature, electric current, distance, Energy, speed, etc.

Examples Displacement, velocity, force, weight, torque, momentum, acceleration, velocity, etc

 

EXPLANATION:

  • Distance is a scalar quantity whereas displacement is a vector quantity but both are measured with the same unit. 
  • Force and Momentum both are vector quantities with both magnitude and direction.
  • Work and power both are scalar quantities. 

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