Advertisements
Advertisements
Question
Obtain approximately the ratio of the nuclear radii of the gold isotope `""_97^197 "Au"` and the silver isotope `""_47^197"Ag"`.
Advertisements
Solution
Nuclear radius of the gold isotope `""_79"Au"^197` = RAu
Nuclear radius of the silver isotope `""_47"Ag"^107` = RAg
Mass number of gold, AAu = 197
Mass number of silver, AAg = 107
The ratio of the radii of the two nuclei is related with their mass numbers as:
`"R"_"Au"/"R"_"Ag" = ("R"_"Au"/"R"_"Ag")^(1/3)`
`= (197/107)^(1/3) = 1.2256`
Hence, the ratio of the nuclear radii of the gold and silver isotopes is about 1.23.
RELATED QUESTIONS
In the study of Geiger-Marsdon experiment on scattering of α particles by a thin foil of gold, draw the trajectory of α-particles in the coulomb field of target nucleus. Explain briefly how one gets the information on the size of the nucleus from this study.
From the relation R = R0 A1/3, where R0 is constant and A is the mass number of the nucleus, show that nuclear matter density is independent of A
Two stable isotopes of lithium `""_3^6"Li"` and `""_3^7"Li"` have respective abundances of 7.5% and 92.5%. These isotopes have masses 6.01512 u and 7.01600 u, respectively. Find the atomic mass of lithium.
In a periodic table the average atomic mass of magnesium is given as 24.312 u. The average value is based on their relative natural abundance on earth. The three isotopes and their masses are `""_12^24Mg` (23.98504u), `""_12^25 Mg` (24.98584u) and `""_12^26Mg` (25.98259u). The natural abundance of `""_12^24 Mg` is 78.99% by mass. Calculate the abundances of other two isotopes.
Show that the density of nucleus over a wide range of nuclei is constant-independent of mass number A.
If neutrons exert only attractive force, why don't we have a nucleus containing neutrons alone?
The atomic mass of Uranium `""_92^238"U"` is 238.0508 u, while that of Thorium `""_90^234"Th"` is 234.0436u, and that of Helium `""_2^4"He"` "is 4.0026u. Alpha decay converts `""_92^238"U"` into `""_92^234"Th"` as, shown below:
`""_92^238"U" -> ( ""_90^234"Th" + ""_2^4"He" + "Energy" )`
Atomic mass unit (u) is defined as ________ of the mass of the carbon (12C) atom.
Nuclear species or nuclides are shown by the notation ________ where X is the chemical symbol of the species.
A nucleus of mass number A has a radius R such that ______.
The mass number of a nucleus is equal to the number of:-
Deuteron is a bound state of a neutron and a proton with a binding energy B = 2.2 MeV. A γ-ray of energy E is aimed at a deuteron nucleus to try to break it into a (neutron + proton) such that the n and p move in the direction of the incident γ-ray. If E = B, show that this cannot happen. Hence calculate how much bigger than B must E be for such a process to happen.
Two nuclei may have the same radius, even though they contain different numbers of protons and neutrons. Explain.
Mass numbers of two nuclei are in the ratio of 4 : 3. Their nuclear densities will be in the ratio of ______.
1 amu is defined as:
The atomic mass unit (u) is defined as:
The nucleus of the lightest atom of hydrogen is called the:
The mass of a neutron in atomic mass units is:
The number of protons in the nucleus is equal to:
Regarding the stability of the neutron, which statement is correct?
