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CHAPTER NUCLEI 13 Exercise 1: NCERT Based Topic-wise MCQs 13.1 INTRODUCTION 1. The constituents of nucleus are NCERT Page-440 / N-306 (a) electrons and protons (b) protons and neutrons (c) neutrons and electrons (d) electrons, protons and neutrons 13.2 ATOMIC MASSES AND COMPOSITION OF NUCLEUS 2. A nuclei having same number of neutron but different number of protons / atomic number are called NCERT Page-441 / N-309 (a) isobars (b) isomers (c) isotones (d) isotopes 3. The nuclei of which one of the following pairs of nuclei are isotones? NCERT Page- 441 / N-309 (a) 34Se74 , 31Ga71 (c) 42Mo92 , 40Zr92 (b) 38Sr84 , 38Sr86 (d) 20Ca40 , 16S 32 4. The set which represents the isotope, isobar and isotone respectively is NCERT Page-441 / N-309 (a) ( 1H 2 , 1H 3 ), ( 79Au197 , 80Hg198) and ( 2He3 , 1H 2 ) (b) ( 2He3 , 1H 1 ), ( 79Au197 , 80Hg198) and ( 1H 1 , 1H 3 ) (c) ( 2He3 , 1H 3 ), ( 1H 2 , 1H 3 ) and ( 79Au197 , 80Hg198) (d) ( 1H 2 , 1H 3 ), ( 2He3 ,H 3 ) and ( 79Au197 , 80Hg198) 5. Nucleus of an atom whose atomic mass is 24 consists of NCERT Page-440 / N-308 (a) 11 electrons, 11 protons and 13 neutrons (b) 11 electrons, 13 protons and 11 neutrons (c) 11 protons and 13 neutrons (d) 11 protons and 13 electrons 6. If Avogadro number is 6 × 1023, then number of protons, neutrons and electrons in 14gms of 6C 14 are respectively NCERT Page-443 / N-308 (a) 36 × 1023 , 48 × 1023 , 36 × 1023 (b) 36 × 1023 , 36 × 1023 , 36 × 1023 (c) 48 × 1023 , 36 × 1023 , 48 × 1023 (d) 48 × 1023 , 48 × 1023 , 36 × 1023
7. Atomic weight of boron is 10.81 and it has two isotopes 5B 10 and 5B 11. Then ratio of 5B 10: 5B 11 in nature would be NCERT Page-439 / 307 (a) 19: 81 (b). 10: 11 (c) 15: 16 (d) 81: 19 13.3 SIZE OF THE NUCLEUS 8. Which of the following figure represents the variation of ln ( R R0 ) with ln A (If R = radius of a nucleus and A = its mass number)? NCERT Page-439 / 309 (a) (b) (c) (d) 9. The radius of a nucleus is NCERT Page-441 / N-309 (a) directly proportional to its mass number (b) inversely proportional to its atomic weight (c) directly proportional to the cube root of its mass number (d) None of these 10. The radius of nucleus is of the order of NCERT Page-441/N-309 (a) 10−10m (b) 10−6m (c) 10−15m (d) 10−13m 11. The ratio of volumes of nuclei (assumed to be in spherical shape) with respective mass numbers 8 and 64 is (a) 0.5 NCERT Page-441 /N − 309 (b) 2 (c) 0.125 (d) 0.25 12. If the radius of a nucleus 256X is 8 fermi, then the radius of 4He nucleus will be NCERT Page- 441/ N-309 (a) 16 fermi (b) 2 fermi (c) 32 fermi (d) 4 fermi 13. The mass number of He is 4 and that for sulphur is 32 . The radius of sulphur nuclei is larger than that
of helium by NCERT Page-441/N-309 (a) √8 (b) 4 (c) 2 (d) 8 14. A nucleus splits into two nuclear parts which have their velocity ratio equal to 2: 1. What will be the ratio of their nuclear radius? NCERT Page-441 / N-309 (a) 2 1/3 : 1 (b) 1: 2 1/3 (c) 3 1/2 : 1 (d) 1: 3 1/2 15. If radius of the 13 27Al nucleus is estimated to be 3.6 fermi then the radius of 52 125Te nucleus be nearly (a) 8 fermi NCERT Page-441 / N-309 (b) 6 fermi (c) 5 fermi (d) 4 fermi 16. The radius of germanium (Ge) nuclide is measured to be twice the radius of 4 9Be. The number of nucleons in Ge are NCERT Page-441./ N-309 (a) -74 (b) 75 (c) 72 (d) 73 17. The nuclear radius of 8O 16 is 3 × 10−15m. If an atomic mass unit is 1.67 × 10−27kg, then the nuclear density is approximately NCERT Page-442 / N-309 (a) 2.35 × 1017gcm−3 (b) 2.35 × 1017kgm−3 (c) 2.35 × 1017gm−3 (d) 2.35 × 1017kgmm−3 13.4 MAN-ENERGY AND NUCLEAR BINDING ENERGY 18. When the number of nucleons in nuclei increases, the binding energy per nucleon NCERT Page-444 / N-311 (a) increases continuously with mass number (b) decreases continuously with mass number (c) remains constant with mass number (d) first increases and then decreases with increase of mass number 19. The mass of an atomic nucleus is less than the sum of the masses of its constituents. This mass defect is converted into NCERT Page-444 N-311 (a) heat energy (b) light energy (c) electrical energy (d) energy which binds nucleons together 20. If 1mg of U 235 is completely annihilated, the energy liberated is NCERT Page-442 / N-310 (a) 9 × 1010J (c) 9 × 1018J (b) 9 × 1019J (d) 9 × 1017J 21. Which of the following statement is not true regarding Einsteins mass energy relation? NCERT Page-443 / N-310
(a) Mass disappears to reappear as energy. (b) Energy disappears to reappear as mass. (c) Mass and energy are two different forms of the same entity. (d) Mass and energy can never be related to each other 22. The curve of binding energy per nucleon as a function of atomic mass number has a sharp peak for helium nucleus. This implies that helium NCERT Page-444 / N-311 (a) can easily be broken up (b) is very stable (c) can be used as fissionable meterial (d) is radioactive 23. Mp denotes the mass of a proton and Mn that of a neutron. A given nucleus, of binding energy B, contains Z protons and N neutrons. The mass M(N, Z) of the nucleus is given by ( c is the velocity of light) (a) M(N, Z) = NMn + ZMp + B/c 2 NCERT Page-443 / N-311 (b) M(N, Z) = NMn + ZMp − Bc2 (c) M(N, Z) = NMn + ZMp p + Bc2 (d) M(N, Z) = NMn + ZMp − B/c 2 24. Calculate the binding energy of a deuteron atom, which consist of a proton and a neutron, given that the atomic mass of the deutron is 2.014102u. NCERT Page-443 / N-311 (a) 0.002388MeV (b) 2.014102MeV (c) 2.16490MeV (d) 2.224MeV 25. Binding energy per nucleon plot against the mass number for stable nuclei is shown in the figure. Which curve is correct? NCERT Page-444 / N-312 (a) A (b) B (c) C (d) D 26. If MO is the mass of an oxygen isotope 8O 17 , MP and MN are the masses of a proton and a neutron respectively, the nuclear binding energy of the isotope is NCERT Page-443 i N-311 (a) (MO − 17MN)c 2 (c) (MO − 8MP − 9MN)c 2 (b) (MO − 8MP )c 2 (d) MOc 2 27. If the total binding energies of 1 2H, 2 4He, 26 56Fe& 92 235U nuclei are 2.22,28.3,492 and 1786MeV respectively, identify the most stable nucleus of the following. NCERT Page-444 / N-312 (a) 26 56Fe (b) 1 2H