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Read each statement below carefully and state with reason and examples, if it is true or false. A cslar quantity is one that (a) is conserved in a proces (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 differnt orientations of axes.

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(a) False, because energy ( being a scalar quantity ) is not conserved during inelastic collisions.
(b) False, because the diensity ( being a scalar quantity ) has dimesions.
(c ) False, because the density (being a scalar a scalar quantity ) has dimensions.
(d) False, because gravitational potential ( being a scalar quantity ) vary from point to point in space.
(e) True, because the value of scalar does not change with orientation of axes.
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