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Which one of the following statements is true? a) a scalar quantity is the one that is conserved in a process b) a scalar quantity is the one that can never take negative values c) a scalar quantity is the one that does not vary from one point to another in space d) a scalar quantity has the same value for observers with different orientations of the axes

Answer:

The correct answer is d) a scalar quantity has the same value for observers with different orientations of the axes

(a) Scalars can have both positive and negative values, for example, Temperatures as low as -20 degrees Celsius have been recorded. As a result, the preceding statement is incorrect.

(b) While scalar values have dimensions, they do not have any directions associated with them. Distance is both a scalar and a three-dimensional quantity. As a result, the assertion is incorrect.

The gravitational potential, for example, is a scalar quantity that can vary from one place in space to another.

(d) Because a scalar quantity does not change with respect to the axes, the statement above is correct.