Consider the following statements:
$(A)$ Any physical quantity can have more than one unit.
$(B)$ Any physical quantity has only one dimensional formula.
$(C)$ More than one physical quantity may have the same dimension.
$(D)$ We can add and subtract only those expressions that have the same dimension.
The number of correct statements is:

  • A
    $4$
  • B
    $3$
  • C
    $2$
  • D
    $1$

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Similar Questions

State whether the following statements are true or false:
$(a)$ $A$ dimensionally incorrect equation can be correct.
$(b)$ $1 \ AU = 9.46 \times 10^{15} \ m$
$(c)$ The dimensional formula of force and stress are the same.
$(d)$ The dimensions of a physical quantity are different in different systems of units.

Match the List-$I$ with List-$II$. The correct match in the following is:
List-$I$ List-$II$
$A$. Boltzmann constant $I$. $[ML^0T^0]$
$B$. Coefficient of viscosity $II$. $[ML^{-1}T^{-1}]$
$C$. Water equivalent $III$. $[ML^2T^{-2}K^{-1}]$
$D$. Coefficient of thermal conductivity $IV$. $[MLT^{-3}K^{-1}]$

Which of the following does not have the dimensions of force?

Give an example of:
$(a)$ a physical quantity which has a unit but no dimensions
$(b)$ a physical quantity which has neither unit nor dimensions
$(c)$ a constant which has a unit
$(d)$ a constant which has no unit

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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