(B) $(i)$ The volume of a sphere is given by $V = \frac{4}{3} \pi r^3$.Let $R$ be the radius of the atom and $r$ be the radius of the nucleus.Given th

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

(B) $(i)$ The volume of a sphere is given by $V = \frac{4}{3} \pi r^3$.Let $R$ be the radius of the atom and $r$ be the radius of the nucleus.Given the ratio $\frac{R}{r} = 10^5$,we have $R = 10^5 r$.The ratio of their volumes is $\frac{V_{atom}}{V_{nucleus}} = \frac{\frac{4}{3} \pi R^3}{\frac{4}{3} \pi r^3} = \left( \frac{R}{r} \right)^3$.Substituting the value,we get $(10^5)^3 = 10^{15}$.$(ii)$ If the atom is represented by the Earth,then $R_{atom} = R_e = 6.4 \times 10^6 \, m$.Since $r_{nucleus} = \frac{R_{atom}}{10^5}$,we have $r_{nucleus} = \frac{6.4 \times 10^6 \, m}{10^5} = 6.4 \times 10^1 \, m = 64 \, m$.

Class 9 Science STRUCTURE OF THE ATOM Mix Example - STRUCTURE OF THE ATOM

Difficult

The ratio of the radii of a hydrogen atom and its nucleus is $\sim 10^5$. Assuming the atom and the nucleus to be spherical,
$(i)$ What will be the ratio of their sizes (volumes)?
$(ii)$ If the atom is represented by the planet Earth $(R_e = 6.4 \times 10^6 \, m)$,estimate the size of the nucleus.

A
$10^{13}, 34 \, m$
B
$10^{15}, 64 \, m$
C
$10^{16}, 34 \, m$
D
$10^{19}, 24 \, m$

Explore More

Browse All

Question Bank

All Subjects

Class 9 Questions

Class 9

Science Questions

Chapter

STRUCTURE OF THE ATOM

Subtopic

Mix Example - STRUCTURE OF THE ATOM

$(a)$ Why did Rutherford choose gold and not any other lighter element (such as aluminium) for his experiment? Explain your answer giving two reasons.
$(b)$ Write the name and symbol of the particle chosen by Rutherford for bombardment against the gold foil in his experiment.

Medium

View Solution

The following data represents the distribution of electrons,protons,and neutrons in atoms of four elements $A, B, C, D.$
Element Protons,Neutrons,Electrons
$A$ $9, 10, 9$
$B$ $16, 16, 16$
$C$ $12, 12, 12$
$D$ $17, 22, 17$

Answer the following questions:
$(a)$ Give the electronic distribution of element $B.$
$(b)$ The valency of element $A$.
$(c)$ The atomic number of element $B.$
$(d)$ The mass number of element $D$.

Medium

View Solution

Sulphur dioxide $(SO_{2})$ is a colourless,pungent-smelling gas and is a major air pollutant.
$(a)$ Write the electronic configuration of its constituent elements,sulphur and oxygen.
(Given: $_{16}^{32}S, _{8}^{16}O)$
$(b)$ Write the valency of sulphur and oxygen.
$(c)$ Are sulphur and oxygen isotopes of the same element? Explain your answer.

Medium

View Solution

The isotope of cobalt used in the treatment of cancer and iodine used in the treatment of goitre respectively are

Easy

View Solution

The electronic configuration of an element $X$ is $2, 8, 2$.
$(a)$ Find the number of electrons present in the atom of element $X$.
$(b)$ Write the atomic number.
$(c)$ Is this element $X$ a metal or a non-metal?
$(d)$ Find out the valency of the element $X$.

Easy

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

Element	Protons,Neutrons,Electrons
$A$	$9, 10, 9$
$B$	$16, 16, 16$
$C$	$12, 12, 12$
$D$	$17, 22, 17$

The ratio of the radii of a hydrogen atom and its nucleus is $\sim 10^5$. Assuming the atom and the nucleus to be spherical,$(i)$ What will be the ratio of their sizes (volumes)?$(ii)$ If the atom is represented by the planet Earth $(R_e = 6.4 \times 10^6 \, m)$,estimate the size of the nucleus.

Similar Questions

$(a)$ Why did Rutherford choose gold and not any other lighter element (such as aluminium) for his experiment? Explain your answer giving two reasons.$(b)$ Write the name and symbol of the particle chosen by Rutherford for bombardment against the gold foil in his experiment.

The isotope of cobalt used in the treatment of cancer and iodine used in the treatment of goitre respectively are

The electronic configuration of an element $X$ is $2, 8, 2$.$(a)$ Find the number of electrons present in the atom of element $X$.$(b)$ Write the atomic number.$(c)$ Is this element $X$ a metal or a non-metal?$(d)$ Find out the valency of the element $X$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module

The ratio of the radii of a hydrogen atom and its nucleus is $\sim 10^5$. Assuming the atom and the nucleus to be spherical,
$(i)$ What will be the ratio of their sizes (volumes)?
$(ii)$ If the atom is represented by the planet Earth $(R_e = 6.4 \times 10^6 \, m)$,estimate the size of the nucleus.

$(a)$ Why did Rutherford choose gold and not any other lighter element (such as aluminium) for his experiment? Explain your answer giving two reasons.
$(b)$ Write the name and symbol of the particle chosen by Rutherford for bombardment against the gold foil in his experiment.

The electronic configuration of an element $X$ is $2, 8, 2$.
$(a)$ Find the number of electrons present in the atom of element $X$.
$(b)$ Write the atomic number.
$(c)$ Is this element $X$ a metal or a non-metal?
$(d)$ Find out the valency of the element $X$.