Some physical constants are given in List-$I$ and their dimensional formulae are given in List-$II$. Match the following:
List-$I$List-$II$
$(1)$ Planck's constant$(i)$ $[ML^{-1} T^{-2}]$
$(2)$ Gravitational constant(ii) $[ML^{-1} T^{-1}]$
$(3)$ Bulk modulus(iii) $[ML^2 T^{-1}]$
$(4)$ Coefficient of viscosity(iv) $[M^{-1} L^3 T^{-2}]$

The correct answer is:

  • A
    (iv), (iii), (ii), $(i)$
  • B
    $(i)$, (ii), (iii), (iv)
  • C
    (iii), (ii), $(i)$, (iv)
  • D
    (iii), (iv), $(i)$, (ii)

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$A$ steel tape gives correct measurement at $20^{\circ}C$. $A$ piece of wood is being measured with the steel tape at $0^{\circ}C$. The reading is $25 \, cm$ on the tape. The real length of the given piece of wood must be:

Match List-$I$ with List-$II$:
List-$I$List-$II$
$A$. Coefficient of Viscosity$I$. $[M L^2 T^{-2}]$
$B$. Surface Tension$II$. $[M L^2 T^{-1}]$
$C$. Angular momentum$III$. $[M L^{-1} T^{-1}]$
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