Question types

Structure of Atoms and Nuclei question types

64 questions across 5 question groups — pick any mix to generate a Physics paper with step-by-step answer keys.

64
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5
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5
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Sample Questions

Structure of Atoms and Nuclei questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

If the number of nuclei in a radioactive sample at a given time is N, what will be the number at the end of two half-lives?
  • A
    $\frac{N}{2}$
  • $\frac{N}{4}$
  • C
    $\frac{3 N}{4}$
  • D
    $\frac{N}{8}$

Answer: B.

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In the spectrum of hydrogen atom which transition will yield longest wavelength?
  • A
    n = 2 to n = 1
  • B
    n = 5 to n = 4
  • C
    n = 7 to n = 6
  • n = 8 to n = 7

Answer: D.

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In which of the following systems will the radius of the first orbit of the electron be the smallest?
  • A
    hydrogen
  • B
    singly ionized helium
  • C
    deuteron
  • tritium

Answer: D.

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Calculate the energy released in the nuclear reaction ${ }_3^7 Li +p \rightarrow 2 \alpha$ given mass of ${ }_3^7 Li$ atom and of helium atom to be $7.016 u$ and $4.0026 u$ respectively.
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In a periodic table the average atomic mass of magnesium is given as $24.312\ u$. The average value is based on their relative natural abundance on earth. The three isotopes and their masses are ${ }_{12}^{24} Mg\  (23.98504\ u),$ ${ }_{12}^{25} Mg\  (24.98584\ u)$ and ${ }_{12}^{26} Mg\ (25.98259\ u).$ The natural abundance of ${ }_{12}^{24} Mg$ is $78.99 \%$ by mass. Calculate the abundances of other two isotopes.
 
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Before the year 1900 the activity per unit mass of atmospheric carbon due to the presence of ${ }^{14} C$ averaged about $0.255 Bq$ per gram of carbon. (a) What fraction of carbon atoms were ${ }^{14} C$ ? (b) An archaeological specimen containing $500 mg$ of carbon, shows 174 decays in one hour. What is the age of the specimen, assuming that its activity per unit mass of carbon when the specimen died was equal to the average value of the air? Half-life of $14 C$ is 5730 years?
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A source contains two species of phosphorous nuclei, ${ }_{15}^{32} P \left(T_{1 / 2}=14.3 d \right)$ and ${ }_{15}^{32} P \left(T_{1 / 2}=\right. 25.3\ d).$ At time $t=0,90 \%$ of the decays are from ${ }_{15}^{32} P$. How much time has to elapse for only $15 \%$ of the decays to be from ${ }_{15}^{32} P$ ?
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The isotope ${ }^{57} Co$ decays by electron capture to ${ }^{57} Fe$ with a half-life of 272 d . The ${ }^{57} Fe$ nucleus is produced in an excited state, and it almost instantaneously emits gamma rays.
(a) Find the mean lifetime and decay constant for ${ }^{57} Co$.
(b) If the activity of a radiation source ${ }^{57} Co$ is $2.0 \mu Ci$ now, how many ${ }^{57} Co$ nuclei does the source contain?
(c) What will be the activity after one year?
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