# ch40 - CHAPTER Nuclear Physics 40 1 Give the symbols for...

This preview shows pages 1–3. Sign up to view the full content.

CHAPTER 40 Nuclear Physics 1* · Give the symbols for two other isotopes of ( a ) 14 N, ( b ) 56 Fe, and ( c ) 118 Sn ( a ) 15 N, 16 N; ( b ) 54 Fe, 55 Fe; ( c ) 114 Sn, 116 Sn 2 · Calculate the binding energy and the binding energy per nucleon from the masses given in Table 40-1 for ( a ) 12 C, ( b ) 56 Fe, and ( c ) 238 U. ( a ) Use Equ. 40-3 and Table 40-1. ( b ), ( c ) Proceed as in part ( a ) ( a ) E b = (6 × 1.007825 + 6 × 1.008665 - 12.00)931.5 MeV = 92.16 MeV; E b / A = 7.68 MeV ( b ) Z = 26, N = 30; E b = 488.1 MeV; E b / A = 8.716 MeV ( c ) Z = 92, N = 146; E b = 1804 MeV; E b / A = 7.58 MeV 3 · Repeat Problem 2 for ( a ) 6 Li, ( b ) 39 K, and ( c ) 208 Pb. ( a ), ( b ), ( c ) Proceed as in Problem 40-2. ( a ) Z = 3, N = 3; E b = 31.99 MeV; E b / A = 5.33 MeV ( b ) Z = 19, N = 20; E b = 333.7 MeV; E b / A = 8.556 MeV ( c ) Z = 82, N = 126; E b = 1636.5 MeV; E b / A = 7.868 MeV 4 · Use Equation 40-1 to compute the radii of the following nuclei: ( a ) 16 O, ( b ) 56 Fe, and ( c ) 197 Au. ( a ), ( b ), ( c ) Use Equ. 40-1 ( a ) R 16 = 3.78 fm; ( b ) R 56 = 5.74 fm; ( c ) R 197 = 8.73 fm 5* · ( a ) Given that the mass of a nucleus of mass number A is approximately m = CA , where C is a constant, find an expression for the nuclear density in terms of C and the constant R 0 in Equation 40-1. ( b ) Compute the value of this nuclear density in grams per cubic centimeter using the fact that C has the approximate value of 1 g per Avogadro's number of nucleons. ( a ) From Equ. 40-1, R = R 0 A 1/3 , the nuclear volume is V = (4 p /3) R 0 3 A . With m = CA , r = m / V = 3 C /4 p R 0 3 . ( b ) Given that C = 1/6.02 × 10 23 g and R 0 = 1.5 × 10 -13 cm, r = 1.18 × 10 14 g/cm 3 . 6 · Derive Equation 40-2; that is, show that the rest energy of one unified mass unit is 931.5 MeV. 1 u = 1.660540 × 10 -27 kg (see p. EP-4). Hence, u c 2 = [(2.997924 × 10 8 ) 2 × 1.660540 × 10 -27 /1.602177 × 10 -19 ] eV = 9.3149 × 10 8 eV = 931.49 MeV. 7 · Use Equation 40-1 for the radius of a spherical nucleus and the approximation that the mass of a nucleus of mass number A is A u to calculate the density of nuclear matter in grams per cubic centimeter.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Chapter 40 Nuclear Physics The density of a sphere is r = M / V . In this case M = 1.66 × 10 -27 A kg and V = (4 p /3)(1.5 × 10 -15 ) 3 A m 3 . Thus r = 1.174 × 10 17 kg/m 3 = 1.174 × 10 14 g/cm 3 . 8 ·· The electrostatic potential energy of two charges q 1 and q 2 separated by a distance r is U = kq 1 q 2 /r, where k is the Coulomb constant. ( a ) Use Equation 40-1 to calculate the radii of 2 H and 3 H. ( b ) Find the electrostatic potential energy when these two nuclei are just touching, that is, when their centers are separated by the sum of their radii. ( a
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 17

ch40 - CHAPTER Nuclear Physics 40 1 Give the symbols for...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online