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Question

Which of the following quantities has both magnitude and direction?

The correct answer is
Velocity

Quantity with Magnitude and Direction

A quantity possessing both magnitude (size) and direction is classified as a vector quantity. Quantities that only have magnitude are called scalar quantities.

Analyzing Physical Quantities

Let's examine the options provided:

  • Time: This is a scalar quantity. It only has a magnitude (e.g., 5 seconds).
  • Distance: This is also a scalar quantity. It represents the total path length covered, having only magnitude (e.g., 10 meters).
  • Speed: This is the rate of change of distance. It is a scalar quantity, representing only how fast an object is moving (e.g., 2 m/s).
  • Velocity: This is the rate of change of displacement. It includes both the speed (magnitude) and the direction of motion (e.g., 2 m/s North). Therefore, velocity is a vector quantity.

Based on the definitions, Velocity is the quantity that has both magnitude and direction.

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Important Questions from Physical Quantities

  1. Kilowatt-hour (kWh) represents the unit of which of the following?

  2. Which line on a meteorological map connects points of the same atmospheric pressure?

  3. Which one of the following is a commercial unit of Energy ?

  4. The energy $U$ stored in an inductor carrying a current $I$ is related to the magnetic flux $\Phi_B$ by the expression $U = \frac{1}{2} \Phi_B I$. What is the dimensional formula of magnetic flux ($\Phi_B$)?

  5. Which of the following is a scalar quantity?

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