Medium
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
Fill in the blanks:
$(a)$ To measure the direct distance of a mountain,....... is used.
$(b)$ For the measurement of time,the ........... clock is the most accurate.
$(c)$ Rounding off $15.753$ to three significant figures gives ....... .
$(a)$ To measure the direct distance of a mountain,....... is used.
$(b)$ For the measurement of time,the ........... clock is the most accurate.
$(c)$ Rounding off $15.753$ to three significant figures gives ....... .
Medium
View SolutionThe fundamental unit which has the same power in the dimensional formula of surface tension and viscosity is
Medium
View SolutionWhich one has dimensions different from the remaining three?
Easy
View SolutionNames of units of some physical quantities are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the correct pairs in the lists:
$A$. $Pa \cdot s$ $(i)$. $[L^2 T^{-2} K^{-1}]$ $B$. $N \cdot m \cdot K^{-1}$ $(ii)$. $[MLT^{-3} K^{-1}]$ $C$. $J \cdot kg^{-1} \cdot K^{-1}$ $(iii)$. $[ML^{-1} T^{-1}]$ $D$. $W \cdot m^{-1} \cdot K^{-1}$ $(iv)$. $[ML^2 T^{-2} K^{-1}]$
| $A$. $Pa \cdot s$ | $(i)$. $[L^2 T^{-2} K^{-1}]$ |
| $B$. $N \cdot m \cdot K^{-1}$ | $(ii)$. $[MLT^{-3} K^{-1}]$ |
| $C$. $J \cdot kg^{-1} \cdot K^{-1}$ | $(iii)$. $[ML^{-1} T^{-1}]$ |
| $D$. $W \cdot m^{-1} \cdot K^{-1}$ | $(iv)$. $[ML^2 T^{-2} K^{-1}]$ |
DifficultTS EAMCET 2005
View SolutionThe pair having the same dimensions is
Medium
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