Advertisements
Advertisements
Question
A nuclide 1 is said to be the mirror isobar of nuclide 2 if Z1 = N2 and Z2 = N1. (a) What nuclide is a mirror isobar of 1123 Na? (b) Which nuclide out of the two mirror isobars have greater binding energy and why?
Advertisements
Solution
Mirror nuclei are nuclei where the number of protons of element one (Z1) equals the number of neutrons of element two (N2), the number of protons of element two (Z2) equal the number of neutrons in element one (N1) and the mass number is the same.
Pairs of mirror nuclei have the same spin and parity. If we constrain to an odd number of nucleons (A), then w find mirror nuclei that differ from one another by exchanging a proton with a neutron. Interesting to observe is their binding energy which is mainly due to the strong interaction and also due to Coulomb interaction. Since the strong interaction is invariant to protons and neutrons one can expect these mirror nuclei to have very similar binding energies.
(a) According to the question, nuclide 1 is said to be the mirror isobar of nuclide 2, if Z1 = N2 and Z2 = N1.
Now In 11Na23, Z1 = 11, N1, = 23 – 11 = 12
∴ Mirror isobar of 11Na23 is 12Mg23, for which Z2 = 12 = N1 and N2 = 23 – 12 = 11 = Z1
(b) We know 1223Mg contains even number of protons (12) against 1123Na which has odd number of protons (11), therefore 1123Mg has greater binding energy than 11Na23.
APPEARS IN
RELATED QUESTIONS
Boron has two stable isotopes, `""_5^10"B"` and `""_5^11"B"`. Their respective masses are 10.01294 u and 11.00931 u, and the atomic mass of boron is 10.811 u. Find the abundances of `""_5^10"B"` and `""_5^11"B"`.
The three stable isotopes of neon: `""_10^20"Ne"`, `""_10^21"Ne"` and `""_10^22"Ne"` have respective abundances of 90.51%, 0.27% and 9.22%. The atomic masses of the three isotopes are 19.99 u, 20.99 u and 21.99 u, respectively. Obtain the average atomic mass of neon.
Obtain approximately the ratio of the nuclear radii of the gold isotope `""_97^197 "Au"` and the silver isotope `""_47^197"Ag"`.
The nucleus `""_10^23"Ne"` decays by `beta^(-)`emission. Write down the β decay equation and determine the maximum kinetic energy of the electrons emitted. Given that:
`"m"(""_10^23 "Ne")` = 22.994466 u
`"m"(""_11^23 "Na")` = 22.989770 u.
Write one balanced equation to show Emission of `beta^-` (i.e. a negative beta particle)
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?
Find the Q-value and the kinetic energy of the emitted α-particle in the α-decay of `""_86^220"Rn"`.
Given `"m"(""_88^226"Ra")` = 226.02540 u, `"m"(""_86^222 "Rn")` = 222.01750 u,
`"m"(""_86^220 "Rn")`= 220.01137 u, `"m"(""_84^216 "Po")`= 216.00189 u.
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.
The nuclei of isotopes of a given element contain the same number of ______.
All nuclides with same mass number A are called ______.
The mass number of a nucleus is equal to the number of:-
Two nuclei have different mass numbers A1 and A2. Are these nuclei necessarily the isotopes of the same element? Explain.
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 ______.
Which of the following are the constituents of the nucleus?
