Question:

Which one of the following statements is true?

Updated On: Jul 7, 2022
  • A scalar quantity is the one that is conserved in a process
  • A scalar quantity is the one that can never take negative values
  • A scalar quantity is the one that does not vary from one point to another in space
  • A scalar quantity has the same value for observers with different orientations of the axes
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The Correct Option is D

Solution and Explanation

The statement is false. It is because kinetic energy (scalar quantity) is not conserved during inelastic collision. The statement is false. It is because the temperature (scalar quantity) can be negative. The statement is false. It is because gravitational potential energy (scalar quantity) vary from point to point in space. The statement is true because the value of scalar does not change with orientation of axes.
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Concepts Used:

Motion in a Plane

It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions. 

Equations of Plane Motion

The equations of motion in a straight line are:

v=u+at

s=ut+½ at2

v2-u2=2as

Where,

  • v = final velocity of the particle
  • u = initial velocity of the particle
  • s = displacement of the particle
  • a = acceleration of the particle
  • t = the time interval in which the particle is in consideration