NUCLEI QUIZ-13

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 An energy of 24.6 eV is required to remove one of the electrons from a neutral helium atom. The energy (in eV) required to remove both the electrons from a neutral helium atom is
•   79.0
•   51.8
•   49.2
•   38.2
Solution

Q2 If _92 U^238 changes to _85 At^210 by a series of Î±- and Î²-decays, the number of Î±- and Î²-decays undergone is
•   7 and 5
•   7 and 7
•   5 and 7
•   7 and 9
Solution

Q3 The probability of survival of a radioactive nucleus for one mean life is
•   1/e
•   1-1/e
•   ln⁡2/e
•   1-ln⁡2/e
Solution

Q4A radioactive nuclide is produced at the constant rate of n per second (say, by bombarding a target with neutrons). The expected number N of nuclei in existence t s after the number is N_0 is given by
•   N=N_0 e^(-Î»t)
•   N=n/Î»+N_0 e^(-Î»t)
•   N=n/Î»+(N_0-n/Î») e^(-Î»t)
•   N=n/Î»+(N_0+n/Î») e^(-Î»t)

Q5. Beta rays emitted by a radioactive material are

•   The electrons orbiting around the nucleus
•   Charged particles emitted by the nucleus
•   Neutral particles
Solution

(c)

Î²-particles are radioactive material emitted by the nucleus

Q6A radio isotope ‘X’ has a half-life of 10 s. Find the number of nuclei in the sample (if initially there are 1000 isotopes which are falling from rest from a height of 3000 m) when it is at a height of 1000 m from the reference plane
•   50
•   250
•   29
•   100
Solution
(b) Calculate time when it reaches a height of 1000 m, then use A=Î»N

Q7. Half-life of a radio active substance A is 4 days. The probability that a nucleus will decay in two half-lives is

•   1/4
•   3/4
•   1/2
•  Area
Solution
(b) After two half-lives 1/4 th fraction of nuclei will remain undecayed or 3/4 th fraction will decay. Hence , the probability that a nucleus decays in two half-lives is 3/4.

Q8 The half-life of radioactive radon is 3.8 days. The time at the end of which 1/20th of the radon sample will remain undecayed is (given log_10⁡〖e=0.4343)〗
•   3.8 days
•   16.5 days
•   33 days
•   76 days
Solution

Q9. In the case of thorium (A=232 and Z=90), we obtain an isotope of lead (A=208 and Z=82) after some radioactive disintegration. The number of Î±- and Î²-particles emitted are, respectively, span>
•   6, 3
•   6, 4
•   5, 5
•   4, 6
Solution

Q10 What would be the energy required to dissociate completely 1 g of Ca-40 into its constituent particles? Given: Mass of proton =1.007277 a.m.u., Mass of neutron =1.00866 a.m.u. Mass if Ca-40 =39.97545 a.m.u (take 1 a.m.u.=931 MeV)
• 4.813×10^24 MeV
•   4.813×10^24 eV
• 4.813×10^23 MeV
• None of the above

Solution

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