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?
- A$3.16 \times 10^{-7}$
- B$3.16 \times 10^{-5}$
- C$6.32 \times 10^{-3}$
- D$6.32 \times 10^{-7}$
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Similar Questions
If $\epsilon_0$, $E$, and $t$ represent the free space permittivity, electric field, and time respectively, then the unit of $\frac{\epsilon_0 E}{t}$ will 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 $III$. $[M L^{-1} T^{-1}]$ $D$. Rotational Kinetic energy $IV$. $[M L^0 T^{-2}]$
| 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 | $III$. $[M L^{-1} T^{-1}]$ |
| $D$. Rotational Kinetic energy | $IV$. $[M L^0 T^{-2}]$ |
DifficultJEE MAIN 2024
View SolutionMatch the following (Take the relative strength of the strongest fundamental forces in nature as $1$):
$I$ (Fundamental forces in nature) $II$ (Relative strength) $(A)$ Strong nuclear force $(e)$ $10^{-2}$ $(B)$ Weak nuclear force $(f)$ $1$ $(C)$ Electromagnetic force $(g)$ $10^{10}$ $(D)$ Gravitational force $(h)$ $10^{-13}$ $(i)$ $10^{-39}$
The correct match is:
| $I$ (Fundamental forces in nature) | $II$ (Relative strength) |
|---|---|
| $(A)$ Strong nuclear force | $(e)$ $10^{-2}$ |
| $(B)$ Weak nuclear force | $(f)$ $1$ |
| $(C)$ Electromagnetic force | $(g)$ $10^{10}$ |
| $(D)$ Gravitational force | $(h)$ $10^{-13}$ |
| $(i)$ $10^{-39}$ |
The correct match is:
In a new system,the unit of mass is $10 \ kg$,the unit of length is $5 \ m$,and the unit of time is $10 \ s$. Then,in this new system,$20 \ g/cm^3$ is equal to:
Medium
View SolutionMatch List $I$ with List $II$ and select the correct answer using the codes given below the lists:
List $I$ List $II$ $P.$ Boltzmann constant $1.$ $[ML^2T^{-1}]$ $Q.$ Coefficient of viscosity $2.$ $[ML^{-1}T^{-1}]$ $R.$ Planck constant $3.$ $[MLT^{-3}K^{-1}]$ $S.$ Thermal conductivity $4.$ $[ML^2T^{-2}K^{-1}]$
Codes: $P \quad Q \quad R \quad S$
| List $I$ | List $II$ |
| $P.$ Boltzmann constant | $1.$ $[ML^2T^{-1}]$ |
| $Q.$ Coefficient of viscosity | $2.$ $[ML^{-1}T^{-1}]$ |
| $R.$ Planck constant | $3.$ $[MLT^{-3}K^{-1}]$ |
| $S.$ Thermal conductivity | $4.$ $[ML^2T^{-2}K^{-1}]$ |
Codes: $P \quad Q \quad R \quad S$
DifficultIIT 2013
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