Read each statement below carefully and state,with reasons 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.

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(E) False: Despite being a scalar quantity,energy is not conserved in inelastic collisions.
$(b)$ False: Despite being a scalar quantity,temperature can take negative values.
$(c)$ False: Total path length is a scalar quantity,yet it has the dimension of length.
$(d)$ False: $A$ scalar quantity such as gravitational potential can vary from one point to another in space.
$(e)$ True: The value of a scalar does not vary for observers with different orientations of axes.

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Similar Questions

$Assertion$: In the measurement of physical quantities,direct and indirect methods are used.
$Reason$: The accuracy and precision of measuring instruments,along with errors in measurements,should be taken into account while expressing the result.

$Pascal-Second$ has the dimension of:

Match List-$I$ with List-$II$.
List-$I$List-$II$
$(A)$ Coefficient of viscosity$(I)$ $[ML^0T^{-3}]$
$(B)$ Intensity of wave$(II)$ $[ML^{-2}T^{-2}]$
$(C)$ Pressure gradient$(III)$ $[M^{-1}LT^2]$
$(D)$ Compressibility$(IV)$ $[ML^{-1}T^{-1}]$
Choose the correct answer from the options given below:

Choose the correct statement from the following.

Which of the following has the same dimensional formula?

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