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.
$A$ 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.
(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.
$(b)$ 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
Match List $I$ with List $II$:
List $I$ List $II$ $(A)$ Young's Modulus $(Y)$ $(I)$ $[M L^{-1} T^{-1}]$ $(B)$ Co-efficient of Viscosity $(\eta)$ $(II)$ $[M L^2 T^{-1}]$ $(C)$ Planck's Constant $(h)$ $(III)$ $[M L^{-1} T^{-2}]$ $(D)$ Work Function $(\phi)$ $(IV)$ $[M L^2 T^{-2}]$
Choose the correct answer from the options given below:
| List $I$ | List $II$ |
| $(A)$ Young's Modulus $(Y)$ | $(I)$ $[M L^{-1} T^{-1}]$ |
| $(B)$ Co-efficient of Viscosity $(\eta)$ | $(II)$ $[M L^2 T^{-1}]$ |
| $(C)$ Planck's Constant $(h)$ | $(III)$ $[M L^{-1} T^{-2}]$ |
| $(D)$ Work Function $(\phi)$ | $(IV)$ $[M L^2 T^{-2}]$ |
Choose the correct answer from the options given below:
Identify the pair that has the same dimensions.
Medium
View SolutionThe ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of
MediumAIPMT 2005
View SolutionWhich of the following pairs of quantities do not have the same dimensions?
The related effort to derive the properties of a bigger, more complex system from the properties and interactions of its constituent simpler parts is:
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