E, = a,A – a, A²3 – aZ'A3 – a„(A-2Z)²A' (pairing energy term is ignored) -1/3 | | 15.76, a, 17.81, 0.71, and aas (Where a. 23.30; all are in MeV) a. a) Calculate the atomic mass of 0 b) The binding energies of the mirror nuclei " Sc and Ca 343.143 and 350.420 MeV, respectively, use the given semi empirical mass formula (above), estimate the radii of the two nuclei. are

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Some useful constants
Avogadro's number, NA
Speed of light, c
leV
= 6.02 × 1023 (g mol)
= 3 x 10° ms-l
=1.6×10-19 J
= 8.85 × 10-12 Fm'
= 1.05 ×10-34 Js
1027 kg
Permittivity of vacuum,e,
Planck constant, ?
Atomic mass unit, u
= 1.66 ×
= 931.5 MeV/c²
226
223
Atomic mass of Ra
= 223.018501 u
= 226.025406 u
88 Ra
219
Atomic mass of 6 Rn
= 222.017574 u
86 Rn
219.009485 u
Atomic
mass
of
14.008595
210
u
* Po = 209.982876 u
Atomic mass of N
= 14.003074 u
210
Pb = 209.984178 u
Atomic mass of C
* Pb = 208.981080 u
Mass of electron, m.
= 14.003242u
= 0.000549 u
2 Pb = 205.974455 u
Mass of neutron, m,
= 1.008665 u
Mass of proton, mí
Mass of a-particle, ma
1/4pe,
R = R,A"3
= 1.007825 u
= 4.002603 u
= 9x10° Nm²/C²
with Ro
= 1.10 fm
x [i(g, + 8.)
2
(g, – 8,) (1(1 + 1) -
(i +1)
< u >=
+
For proton g, =1 and g, = 5.57.
For neutron g=0, and
gs
-3.82
A, = N,N, = (
-eht)
Transcribed Image Text:Some useful constants Avogadro's number, NA Speed of light, c leV = 6.02 × 1023 (g mol) = 3 x 10° ms-l =1.6×10-19 J = 8.85 × 10-12 Fm' = 1.05 ×10-34 Js 1027 kg Permittivity of vacuum,e, Planck constant, ? Atomic mass unit, u = 1.66 × = 931.5 MeV/c² 226 223 Atomic mass of Ra = 223.018501 u = 226.025406 u 88 Ra 219 Atomic mass of 6 Rn = 222.017574 u 86 Rn 219.009485 u Atomic mass of 14.008595 210 u * Po = 209.982876 u Atomic mass of N = 14.003074 u 210 Pb = 209.984178 u Atomic mass of C * Pb = 208.981080 u Mass of electron, m. = 14.003242u = 0.000549 u 2 Pb = 205.974455 u Mass of neutron, m, = 1.008665 u Mass of proton, mí Mass of a-particle, ma 1/4pe, R = R,A"3 = 1.007825 u = 4.002603 u = 9x10° Nm²/C² with Ro = 1.10 fm x [i(g, + 8.) 2 (g, – 8,) (1(1 + 1) - (i +1) < u >= + For proton g, =1 and g, = 5.57. For neutron g=0, and gs -3.82 A, = N,N, = ( -eht)
2) According to the liquid drop model, the nuclear binding
energy (in MeV) is given as:
E, = a,A – a, A²3 – a Z?A3 – a (A-2Z)²A
(pairing energy term is ignored)
!
15.76, as
17.81, a. = 0.71, and aas
(Where a.
23.30; all are in MeV)
||
a) Calculate the atomic mass of U
b) The binding energies of the mirror nuclei Sc and "Ca
343.143 and 350.420 MeV, respectively, use the given
semi empirical mass formula (above), estimate the radii
of the two nuclei.
are
20
Transcribed Image Text:2) According to the liquid drop model, the nuclear binding energy (in MeV) is given as: E, = a,A – a, A²3 – a Z?A3 – a (A-2Z)²A (pairing energy term is ignored) ! 15.76, as 17.81, a. = 0.71, and aas (Where a. 23.30; all are in MeV) || a) Calculate the atomic mass of U b) The binding energies of the mirror nuclei Sc and "Ca 343.143 and 350.420 MeV, respectively, use the given semi empirical mass formula (above), estimate the radii of the two nuclei. are 20
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