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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

Vedclass · Accepted Answer

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

Vedclass · Answer

(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)	$(iv)$ ${kg} {m}^{-1} {s}^{-2}$

List-$I$	List-$II$
$(A)$ Torque	$(I)$ $kg\,m^{-1}\,s^{-2}$
$(B)$ Energy density	$(II)$ $kg\,m\,s^{-1}$
$(C)$ Pressure gradient	$(III)$ $kg\,m^{-2}\,s^{-2}$
$(D)$ Impulse	$(IV)$ $kg\,m^2\,s^{-2}$

List-$I$	List-$II$
$(A)$ Coefficient of viscosity	$(I)$ $[ML^0T^{-3}]$
$(B)$ Intensity of wave	$(II)$ $[ML^{-2}T^{-2}]$
$(C)$ Pressure gradient	$(III)$ $[M^{-1}LT^2]$
$(D)$ Compressibility	$(IV)$ $[ML^{-1}T^{-1}]$

Similar Questions

Match List-$I$ with List-$II$.

List-$I$ List-$II$

$(A)$ Torque $(I)$ $kg\,m^{-1}\,s^{-2}$

$(B)$ Energy density $(II)$ $kg\,m\,s^{-1}$

$(C)$ Pressure gradient $(III)$ $kg\,m^{-2}\,s^{-2}$

$(D)$ Impulse $(IV)$ $kg\,m^2\,s^{-2}$

Choose the correct answer from the options given below:

Fill in the blanks:
$(a)$ $1 \ \text{Joule} = \dots \ \text{erg}$
$(b)$ $1 \ \text{eV} = \dots \ \text{Joule}$
$(c)$ $1 \ \text{kWh} = \dots \ \text{Joule}$

Match List-$I$ with List-$II$.
List-$I$ List-$II$
$(A)$ Coefficient of viscosity $(I)$ $[ML^0T^{-3}]$
$(B)$ Intensity of wave $(II)$ $[ML^{-2}T^{-2}]$
$(C)$ Pressure gradient $(III)$ $[M^{-1}LT^2]$
$(D)$ Compressibility $(IV)$ $[ML^{-1}T^{-1}]$
Choose the correct answer from the options given below:

$M{L^{ - 1}}{T^{ - 2}}$ represents:

The unit of length convenient on the atomic scale is known as an $\mathring{A}$ and is denoted by $\mathring{A}: 1 \mathring{A} = 10^{-10} \, m$. The size of a hydrogen atom is about $0.5 \mathring{A}$. What is the total atomic volume in $m^{3}$ of a mole of hydrogen atoms?

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