The unit of length convenient on the atomic s | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Radius of hydrogen atom,$r = 0.5 \mathring{A} = 0.5 	imes 10^{-10} \, m$. Volume of one hydrogen atom $= \frac{4}{3} \pi r^{3} = \frac{4}{3} 	im

Vedclass · Accepted Answer

$3.16 	imes 10^{-7}$

Vedclass · Answer

(A) Radius of hydrogen atom,$r = 0.5 \mathring{A} = 0.5 	imes 10^{-10} \, m$. Volume of one hydrogen atom $= \frac{4}{3} \pi r^{3} = \frac{4}{3} 	imes 3.14159 	imes (0.5 	imes 10^{-10})^{3} \approx 0.5236 	imes 10^{-30} \, m^{3}$. $1$ mole of hydrogen contains $N_{A} = 6.022 	imes 10^{23}$ atoms. Total volume of $1$ mole of hydrogen atoms $= N_{A} 	imes 	ext{Volume of one atom} = 6.022 	imes 10^{23} 	imes 0.5236 	imes 10^{-30} \, m^{3} \approx 3.153 	imes 10^{-7} \, m^{3}$. Rounding to two decimal places,the result is $3.16 	imes 10^{-7} \, m^{3}$.

List-$I$	List-$II$
$(A)$ Torque	$(I)$ $Nms^{-1}$
$(B)$ Stress	$(II)$ $Jkg^{-1}$
$(C)$ Latent Heat	$(III)$ $Nm$
$(D)$ Power	$(IV)$ $Nm^{-2}$

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?

Similar Questions

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

List-$I$ List-$II$

$(A)$ Torque $(I)$ $Nms^{-1}$

$(B)$ Stress $(II)$ $Jkg^{-1}$

$(C)$ Latent Heat $(III)$ $Nm$

$(D)$ Power $(IV)$ $Nm^{-2}$

Choose the correct answer from the options below.

The dimensions of angular momentum,latent heat,and capacitance are,respectively:

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

Which of the following pairs of physical quantities have the same dimensions,where one is a vector and the other is a scalar?

$Joule-second$ is the unit of

Vedclass Test Series

Exam Paper Generator

Online Exam Module