Read each statement below carefully and state with reason and examples, if it is true or false. A scalar quantity is one that (a) is conserved in a process (b) can never take negative values (c ) must be dimensionless (d) does not vary from one point to another in space (e ) has the same value for observers with different orientations of axes.

Explanation

(a) False , e.g. speed and kinetic energy of a body are scalar quantities and may be variable .
(b) False , e.g the scalars like work and negavitational potential energy may be negative .
(c) False, because the scalars , e.g. speed and work have dimensions .
(d) False , because the scalars , e.g. speed and energy, may be variable from one point to another .
(e) True , as a scalar does not have any orientation is space , a scalar will have the same value for observes with different orientations of axes .