Some physical quantities are given in Column $I$ and some possible $SI$ units in which these quantities may be expressed are given in Column $II$. Match the physical quantities in Column $I$ with the units in Column $II$.
Column $I$ Column $II$
$(A)$ $GM_e M_s$ ($G$: universal gravitational constant,$M_e$: mass of the earth,$M_s$: mass of the Sun) $(p)$ $(\text{volt})(\text{coulomb})(\text{metre})$
$(B)$ $\frac{3RT}{M}$ ($R$: universal gas constant,$T$: absolute temperature,$M$: molar mass) $(q)$ $(\text{kg})(\text{m})^3(\text{s})^{-2}$
$(C)$ $\frac{F^2}{q^2 B^2}$ ($F$: force,$q$: charge,$B$: magnetic field) $(r)$ $(\text{m})^2(\text{s})^{-2}$
$(D)$ $\frac{GM_e}{R_e}$ ($G$: universal gravitational constant,$M_e$: mass of the earth,$R_e$: radius of the earth) $(s)$ $(\text{farad})(\text{volt})^2(\text{kg})^{-1}$

  • A
    $A \rightarrow (q), B \rightarrow (r), C \rightarrow (r), D \rightarrow (r)$
  • B
    $A \rightarrow (p), B \rightarrow (r), C \rightarrow (r), D \rightarrow (r)$
  • C
    $A \rightarrow (q), B \rightarrow (r), C \rightarrow (s), D \rightarrow (r)$
  • D
    $A \rightarrow (p), B \rightarrow (s), C \rightarrow (q), D \rightarrow (r)$

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Similar Questions

Match List $I$ with List $II$ :
List $I$ (Physical Quantity) List $II$ (Dimensional Formula)
$(A)$ Pressure gradient $(I)$ $[M^0 L^2 T^{-2}]$
$(B)$ Energy density $(II)$ $[M^1 L^{-1} T^{-2}]$
$(C)$ Electric Field $(III)$ $[M^1 L^{-2} T^{-2}]$
$(D)$ Latent heat $(IV)$ $[M^1 L^1 T^{-3} A^{-1}]$

Choose the correct answer from the options given below:

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

Fill in the blanks by suitable conversion of units:
$(a)$ $1\; kg\; m^{2}\; s^{-2} = \ldots\; g\; cm^{2}\; s^{-2}$
$(b)$ $1\; m = \ldots\; ly$
$(c)$ $3.0\; m\; s^{-2} = \ldots\; km\; h^{-2}$
$(d)$ $G = 6.67 \times 10^{-11}\; N\; m^{2}\; kg^{-2} = \ldots\; cm^{3}\; s^{-2}\; g^{-1}$

Classify the given physical quantities into vector and scalar: Position,speed,velocity,pressure,acceleration,temperature,force,work,energy.

Names 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)$. $[ML^2 T^{-2} K^{-1}]$

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