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(B) $1$. Rydberg constant $({R}_{H})$: The formula for the Rydberg constant is derived from the Rydberg equation,and its $SI$ unit is ${m}^{-1}$. Thus

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$(a)-(iii), (b)-(ii), (c)-(iv), (d)-(i)$

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(B) $1$. Rydberg constant $({R}_{H})$: The formula for the Rydberg constant is derived from the Rydberg equation,and its $SI$ unit is ${m}^{-1}$. Thus,$(a)-(iii)$.$2$. Planck's constant $(h)$: From the relation $E = h
u$,the unit of $h$ is $J \cdot s = (kg \cdot m^{2} \cdot s^{-2}) \cdot s = {kg} {m}^{2} {s}^{-1}$. Thus,$(b)-(ii)$.$3$. Magnetic field energy density $(u_{B})$: Energy density is energy per unit volume,$u = \frac{E}{V}$. Its $SI$ unit is $J/m^{3} = (kg \cdot m^{2} \cdot s^{-2}) / m^{3} = {kg} {m}^{-1} {s}^{-2}$. Thus,$(c)-(iv)$.$4$. Coefficient of viscosity $(\eta)$: From Stokes' law or the formula $F = \eta A \frac{dv}{dx}$,the unit of $\eta$ is $kg \cdot m^{-1} \cdot s^{-1}$. Thus,$(d)-(i)$.Matching these,we get $(a)-(iii), (b)-(ii), (c)-(iv), (d)-(i)$.

List-$I$	List-$II$
$(a)$ ${R}_{H}$ (Rydberg constant)	$(i)$ ${kg} {m}^{-1} {s}^{-1}$
$(b)$ $h$ (Planck's constant)	$(ii)$ ${kg} {m}^{2} {s}^{-1}$
$(c)$ $u_{B}$ (Magnetic field energy density)	$(iii)$ ${m}^{-1}$
$(d)$ $\eta$ (Coefficient of viscosity)	$(iv)$ ${kg} {m}^{-1} {s}^{-2}$

$A$. $Pa \cdot s$	$(i)$. $[L^2 T^{-2} K^{-1}]$
$B$. $N \cdot m \cdot K^{-1}$	$(ii)$. $[MLT^{-3} K^{-1}]$
$C$. $J \cdot kg^{-1} \cdot K^{-1}$	$(iii)$. $[ML^{-1} T^{-1}]$
$D$. $W \cdot m^{-1} \cdot K^{-1}$	$(iv)$. $[ML^2 T^{-2} K^{-1}]$

Similar Questions

Which of the following groups has different dimensions?

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

Of the following quantities,which one has dimensions different from the remaining three?

$Assertion$: In the measurement of physical quantities,direct and indirect methods are used.
$Reason$: The accuracy and precision of measuring instruments,along with errors in measurements,should be taken into account while expressing the result.

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