Title NET NUCLEAR & PARTICLE PHYSICS ASSIGNMENT-1.pdf ✅

1 North Delhi : 56-58, First Floor, Mall Road, G.T.B. Nagar (Near Metro Gate No. 3), Delhi-09, Ph: 011-41420035 South Delhi : 28-A/11, Jia Sarai, Near-IIT Metro Station, New Delhi-16, Ph : 011-26851008, 26861009 CSIR-UGC-NET/JRF PHYSICAL SCIENCES Assignment - 1 : Nuclear Particle Physics Nuclear Basic Properties 1. If the nuclear radius of Al27 is 3.6 fermi, the approximate nuclear radius of Cu64 (in fermi) is (a) 4.8 (b) 3.6 (c) 2.4 (d) 1.2 2. Assuming the nuclear radius R for an atomic nucleus of mass A, to be given as R = R0A1/3, where R0 = 1.2 × 10–15 m. The number of nucleons per unit volume is equal to (a) 1.38 × 1022 nucleons/m3 (b) 1.38 × 1012 nucleons/m3 (c) 1.38 × 1023 nucleons/m3 (d) 1.38 × 1044 nucleons/m3 3. If the charge density of the nucleus is given as following: / 0 ( ) r a P r P e  . The r.m.s. charge radius of the nucleus is (a) a (b) 2 a (c) 3 a (d) 2 3 a 4. If the radius of the nucleus is 3.46 fm, then the mass number A of the nucleus is (a) 23 (b) 24 (c) 25 (d) 26 5. The nuclear density of U235 is (R0 = 1.2 fm, mass of 1 nucleon = 1.66 × 10–27kg) (a) 2.29 × 1017 kg/m3 (b) 1.29 × 1017 kg/m3 (c) 3.24 × 1017 kg/m3 (d) 5.31 × 1017 kg/m3 6. The atomic mass of deuteron is 2.014103 amu. The packing fraction of deuteron is (a) 0.00608 (b) 0.00705 (c) –0.00705 (d) –0.00608 7. The binding energy per nucleon is given by [Here f  packing fraction, MH  Mass of hydrogen atom, MN  Mass of neutron] (a) Z A (MH – MN ) + MN + (1 + f) amu (b) Z A (MH – MN ) + MH + (1 + f) amu (c) Z A (MH – MN ) + MH – (1 + f) amu (d) Z A (MH – MN ) + MN – (1 + f) amu 8. If the charge density of the nucleus is given as following 0     ( ) for r r R   0 for r R , where R is radius of the nucleus. The mean square charge radius of the nucleus is (a) 0.4 R2 (b) 0.6 R2 (c) 0.8 R2 (d) R 2 9. Consider the following statements P) If the nucleus radius is doubled, then the mass number is increased by 4 times Q) The mass number of an element whose radius is 2.71 fm (r 0 = 1.3 fm) is 9 R) If the radius of 165Ho nucleus is 7.731 fm, the radius of 4He is 2.23 fm Which of the following statements is/are CORRECT? (a) P and Q (b) Q and R (c) P and R (d) P, Q and R