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The ratio of volume of atom to volume of nucleus is
- a)1/1000
- b)10
- c)1015
- d)1010
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ratio of volume of atom to volume of nucleus isa)1/1000b)10...
The ratio of the volume of the atom and the volume of the nucleus is 1015
The radius of an atomic nucleus is of the order of 10−13cm or 10−15m or one Fermi unit.
On the other hand, the radius of an atom is of the order of 10−8cm or 10−10m or one angstrom unit.
Note:
The radius of nucleus is much smaller than atomic radius.
The ratio of atomic radius to radius of nucleus is 10−10m /10−15m =105
Volume is proportional to cube of radius.
The ratio of atomic radius to radius of nucleus is (105)3=1015
The radius of an atomic nucleus is of the order of 10−13cm or 10−15m or one Fermi unit.
On the other hand, the radius of an atom is of the order of 10−8cm or 10−10m or one angstrom unit.
Note:
The radius of nucleus is much smaller than atomic radius.
The ratio of atomic radius to radius of nucleus is 10−10m /10−15m =105
Volume is proportional to cube of radius.
The ratio of atomic radius to radius of nucleus is (105)3=1015
Most Upvoted Answer
The ratio of volume of atom to volume of nucleus isa)1/1000b)10...
To find the ratio of the volume of an atom to the volume of the nucleus, let us consider the radius of the atom to be 10-10 and the radius of the nucleus to be 10-15.
Taking the ratio of the volume of nucleus and the volume of the atom, we get
vol of atom /vol of nucleus
=4/3π(r1)3 /4/3π(r2)3
=(10−10)3/(10−15)3
=10−30/10−45
=10(−30+45)
=10+15
Hence, the ratio of the volume of an atom to the volume of the nucleus is 10+15,op C.
Taking the ratio of the volume of nucleus and the volume of the atom, we get
vol of atom /vol of nucleus
=4/3π(r1)3 /4/3π(r2)3
=(10−10)3/(10−15)3
=10−30/10−45
=10(−30+45)
=10+15
Hence, the ratio of the volume of an atom to the volume of the nucleus is 10+15,op C.
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Community Answer
The ratio of volume of atom to volume of nucleus isa)1/1000b)10...
Ratio of Volume of Atom to Volume of Nucleus
Explanation:
- The nucleus is a small, dense and positively charged central part of an atom.
- The volume of an atom is mainly due to the electrons that are located outside the nucleus in their respective shells.
- The volume of the nucleus is negligible compared to the volume of the entire atom.
- Therefore, the ratio of the volume of an atom to the volume of its nucleus is very large.
- This ratio can be calculated by using the formula:
Ratio of Volume of Atom to Volume of Nucleus = (Volume of Atom) / (Volume of Nucleus)
- The volume of an atom can be approximated as the volume of a sphere with the radius equal to the distance between the nucleus and the outermost electron shell.
- The volume of a nucleus can be approximated as the volume of a sphere with the radius equal to the radius of the nucleus.
- Using the above approximations, the ratio of the volume of an atom to the volume of its nucleus can be calculated as:
Ratio of Volume of Atom to Volume of Nucleus = (4/3)πr^3 / (4/3)πR^3
- Here, r is the distance between nucleus and outermost electron shell and R is the radius of the nucleus.
- Simplifying the above equation, we get:
Ratio of Volume of Atom to Volume of Nucleus = (r/R)^3
- As the radius of the nucleus is very small compared to the distance between nucleus and outermost electron shell, the ratio (r/R) is very large.
- Taking the cube of a very large number results in a very large number.
- Therefore, the ratio of the volume of an atom to the volume of its nucleus is very large and is approximately equal to 10^15.
- Hence, the correct option is C) 10^15.
Explanation:
- The nucleus is a small, dense and positively charged central part of an atom.
- The volume of an atom is mainly due to the electrons that are located outside the nucleus in their respective shells.
- The volume of the nucleus is negligible compared to the volume of the entire atom.
- Therefore, the ratio of the volume of an atom to the volume of its nucleus is very large.
- This ratio can be calculated by using the formula:
Ratio of Volume of Atom to Volume of Nucleus = (Volume of Atom) / (Volume of Nucleus)
- The volume of an atom can be approximated as the volume of a sphere with the radius equal to the distance between the nucleus and the outermost electron shell.
- The volume of a nucleus can be approximated as the volume of a sphere with the radius equal to the radius of the nucleus.
- Using the above approximations, the ratio of the volume of an atom to the volume of its nucleus can be calculated as:
Ratio of Volume of Atom to Volume of Nucleus = (4/3)πr^3 / (4/3)πR^3
- Here, r is the distance between nucleus and outermost electron shell and R is the radius of the nucleus.
- Simplifying the above equation, we get:
Ratio of Volume of Atom to Volume of Nucleus = (r/R)^3
- As the radius of the nucleus is very small compared to the distance between nucleus and outermost electron shell, the ratio (r/R) is very large.
- Taking the cube of a very large number results in a very large number.
- Therefore, the ratio of the volume of an atom to the volume of its nucleus is very large and is approximately equal to 10^15.
- Hence, the correct option is C) 10^15.
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