Topic 2: Scalars and Vectors (Imp)

Scalars and Vectors

Physical quantities are classified into scalars and vectors based on whether direction is involved or not.

Scalar Quantities

Scalar quantities are those physical quantities which have magnitude only and no direction.

Examples of Scalar Quantities

  • Mass
  • Time
  • Distance
  • Speed
  • Energy
  • Work

Vector Quantities

Vector quantities are those physical quantities which have both magnitude and direction.

Examples of Vector Quantities

  • Displacement
  • Velocity
  • Acceleration
  • Force
  • Momentum

Representation of Vectors

Vectors are represented by arrows. The length of the arrow represents magnitude and the arrowhead shows direction.

Comparison between Scalars and Vectors

Scalars Vectors
Have magnitude only Have magnitude and direction
Added algebraically Added using vector laws
Example: speed Example: velocity
Q1. Which of the following is a scalar quantity?
A) Velocity
B) Force
C) Displacement
D) Speed

Answer: D


Q2. Which of the following is a vector quantity?
A) Mass
B) Time
C) Energy
D) Acceleration

Answer: D


Q3. Scalar quantities have:
A) Only direction
B) Only magnitude
C) Both magnitude and direction
D) No magnitude

Answer: B


Q4. Vector quantities have:
A) Only magnitude
B) Only direction
C) Both magnitude and direction
D) No direction

Answer: C


Q5. Which pair contains only scalar quantities?
A) Speed, velocity
B) Distance, displacement
C) Mass, time
D) Force, momentum

Answer: C


Q6. Which pair contains only vector quantities?
A) Speed, velocity
B) Displacement, force
C) Mass, acceleration
D) Energy, work

Answer: B


Q7. Vectors are represented by:
A) Numbers
B) Symbols only
C) Arrows
D) Points

Answer: C


Q8. Addition of vectors is done by:
A) Simple arithmetic
B) Vector laws
C) Multiplication
D) Division

Answer: B

Chapter 4: Motion in a Plane

Topic 2: Scalars and Vectors – Quick Revision

1. Scalar Quantities

Have magnitude only.

  • Mass
  • Time
  • Distance
  • Speed

2. Vector Quantities

Have magnitude and direction.

  • Displacement
  • Velocity
  • Acceleration
  • Force

3. Representation

Vectors are represented by arrows.

4. Key Difference

Speed is scalar, velocity is vector.

Exam Focus (MHT-CET)

Direct MCQs are asked on classification of scalars and vectors.


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