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NUCLEI QUIZ-7

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JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts.




Q1 The fraction of a radioactive material which remains active after time t is 9/16. The fraction which remains active after time t/2 will be:
  •   4/5
  •   7/8
  •   3/5
  •   3/4
Solution


Q2. Which of the following is in the increasing order for penetrating power
  •   α,β,γ
  •   β,α,γ
  •   γ,α,β
  •   γ,β,α
Solution 
(a) Penetration power of γ is 100 times of β, while that of β is 100 times of α



Q3. Assuming that about 20 MeV of energy is released per fusion reaction 〖 _1 H〗^2+〖 _1 H〗^2→+〖 _2 He〗^4+E+ other particles Then the mass of 〖 _1 H〗^2 consumed per day in a fusion reactor of power 1 megawatt will approximately be
  •   0.001 g
  •   0.1 g
  •   10.0 g
  •   1000 g
Solution


Q4 A radioactive sample S_1 having an activity of 5μCi has twice the number of nuclei as another sample S_2 which has an activity of 10 μCi. The half lives of S_1 and S_2 can be
  •   20 yr and 5 yr ,respectively
  •   20 yr and 10 yr ,respectively
  •   10 yr each
  •   5 yr each
Solution



Q5. Consider two arbitrary decay equations and mark the correct alternative(s) given below: _92^230 U→n+ _92^229 U _92^230 U→p+ _91^229 U Given: M( _92^230 U)=230.033927 u, M( _92^229 U)=229.03349 u,m_n=1.008665 u, M( _91^229 Pa)=229.032089,m_p=1.007825,1 a.m.u=931.5 MeV

  •   Only decay (i) is possible
  •   Only decay (ii) is possible
  •   Both the decays are possible
  •   Neither of the two decays is possible
Solution


Q6. 1.00 kg of ^235 U undergoes fission process. If energy released per event is 200 MeV, then the total energy released is 
  •   5.12×10^24 MeV
  •   6.02×10^23 MeV
  •   5.12×10^26
  •   6.02×10^26 MeV
Solution

Q7.  A sample of a radioactive element has a mass of 10 g at an instant t=0. The approximate mass of this element in the sample after two mean lives i

  •   1.35 g
  •   2.50 g
  •   3.70 g
  •   6.30 g
Solution




Q8 The activity of a radioactive element decreases to one-third of the original activity I_0 in a period of nine years. After a further lapse of nine years, its activity will be b>
  •   I_0
  •   (2/3)I_0
  •   (I_0/9)
  •   (I_0/6)
Solution



Q9. During a negative beta decay
  •   An atomic electron is ejected
  •   An electron which is already present within the nucleus is ejected
  •   A neutron in the nucleus decays emitting an electron
  •   A part of the binding energy of the nucleus is converted into an electron
Solution 
(c) Following nuclear reaction takes place 〖 _0 n〗^(-1) ⇒_ 〖 _1 H〗^1+〖 _(-1) e〗^0+v ̅



Q10. The binding energy per nucleon of O^16 is 7.97MeV and that of O^17 is 7.75 MeV. The energy (in MeV) required to remove a neutron from O^17 is
  • 3.52 
  •   3.52
  • 4.23
  • 7.86

Solution
(c) The equation is O^17 →_0 n^1+O^16 ∴ Energy required = B.E. of O^17- B.E. of O^16 =17×7.75-16×7.97=4.23 MeV


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