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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 $II$ and indicate your answer by darkening appropriate bubbles in the $4 \times 4$ matrix given in the $ORS$.

Column $I$ Column $II$

$(A)$ $\mathrm{GM}_e \mathrm{M}_5$

$\mathrm{G} \rightarrow$ universal gravitational constant, $\mathrm{M}_{\mathrm{e}} \rightarrow$ mass of the earth,

$\mathrm{M}_5 \rightarrow$ mass of the Sun

 $(p)$ (volt) (coulomb) (metre)

$(B)$ $\frac{3 \mathrm{RT}}{\mathrm{M}} ; \mathrm{R} \rightarrow$ universal gas constant, $\mathrm{T} \rightarrow$ absolute temperature,

$\mathrm{M} \rightarrow$ molar mass

 $(q)$ (kilogram) $(\text { metre) })^3$ (second) $)^{-2}$
$(C)$ $\frac{F^2}{q^2 B^2}$ ;$\quad F \rightarrow$ force, $q \rightarrow$ charge, $B \rightarrow$ magnetic field  $(r)$ $(\text { meter })^2$ (second) $)^{-2}$

$(D)$ $\frac{\mathrm{GM}_e}{\mathrm{R}_{\mathrm{e}}}, G \rightarrow$ universal gravitational constant,

$\mathrm{M}_{\mathrm{e}} \rightarrow$ mass of the earth, $\mathrm{R}_{\mathrm{e}} \rightarrow$ radius of the earth

 $(s)$ (farad) $(\text { volt) })^2(\mathrm{~kg})^{-1}$
  • A$A \rightarrow(s) \&(q), B \rightarrow(q) \&(s), C \rightarrow(p) \&(s), D \rightarrow(r) \&(p)$
  • B$A \rightarrow(r) \&(q), B \rightarrow(s) \&(q), C \rightarrow(r) \&(s), D \rightarrow(r) \&(s)$
  • C$A \rightarrow(p) \&(q), B \rightarrow(r) \&(s), C \rightarrow(r) \&(s), D \rightarrow(r) \&(s)$
  • D$A \rightarrow(p) \&(s), B \rightarrow(r) \&(s), C \rightarrow(q) \&(s), D \rightarrow(r) \&(p)$
IIT 2007, Advanced
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