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Nuclei Test - 15

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Nuclei Test - 15
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  • Question 1
    1 / -0
    Which of the following is used as standard for determination of atomic mass unit?
    Solution
    Atomic mass of a compound is measured in atomic mass units abbreviated as amu or u. One atomic mass unit is defined as $$\frac{1}{12}^{th}$$ of mass of a single carbon-12 atom.
  • Question 2
    1 / -0
    The velocity of a particle is $$60$$% of velocity of light. Then the percentage increase in its mass is
    Solution
    By rest mass formula

              $$m=\dfrac{mo}{\sqrt{1-\frac{V^{2}}{C^{2}}}}$$

               $$=\dfrac{mo}{\sqrt{1-\frac{\left ( \dfrac{60}{100}c \right )^{2}}{C^{2}}}}$$                    $$(\because V\ is\ 60\ \%\ of\ C)$$

               $$=\dfrac{mo}{\sqrt{1-\dfrac{9}{25}}}$$

               $$=\dfrac{mo}{\sqrt{\dfrac{16}{25}}}$$

               $$=\dfrac{5mo}{4}$$

    So, $$\Delta m=-mo-\dfrac{5}{4}m_{o}-m_{o}=\dfrac{m_{o}}{4}$$

    So, percentage increase  $$=\dfrac{m_{o}/4}{m_{o}}\times 100$$

                                               $$=25\ \%\ $$
  • Question 3
    1 / -0
    Critical mass is minimum mass necessary for 
    Solution
    The minimum amount of fissile material needed to maintain a nuclear chain reaction.
  • Question 4
    1 / -0
    Which one of the following properties of an element is not variable?
    Solution
    Atomic weight is specific for a particular element and does not change under any circumstances.
  • Question 5
    1 / -0
    The binding energy of a nucleus is equivalent to 
    Solution
    To find the binding energy, add the masses of the individual protons, neutrons, and electrons, subtract the mass of the atom, and convert that mass difference to energy.
  • Question 6
    1 / -0
    Sun maintains its shining because of 
    Solution
    The Sun produces energy by the nuclear fusion of hydrogen into helium in its core.
  • Question 7
    1 / -0
    A certain mass of Hydrogen is changed to Helium by the process of fusion. The mass defect in fusion reaction is 0.02866 u. The energy liberated per u is (Given 1 u = 931 MeV)
    Solution

  • Question 8
    1 / -0
    Hydrogen bomb is based on 
    Solution
    Hydrogen bomb is based on nuclear fusion. A large amount of nuclear energy is released by fusion of two light elements (elements with low atomic numbers). In a hydrogen bomb, two isotopes of hydrogen, deuterium(1 proton, 1 neutron) and tritium(1 proton, 2 neutron) are fused to form a nucleus of helium and a neutron. This fusion releases 17.6 MeV of energy. Also, there is no limit on the amount of the fusion that can occur.
  • Question 9
    1 / -0
    The ionisation energy of 10 times ionized sodium atom is
    Solution
    $$Na^{+10}$$
    $$I.E.=13\cdot 6\times \frac {2^2}{n^2}$$
    $$z=11, n=1$$
    $$\therefore IE=13\cdot 6 \times (11)_{ev}^{2}$$
  • Question 10
    1 / -0
    For the nuclie with mass number > $$100$$
    Solution


    From the above figure it is clearly visible that the binding energy of the nucleus decreases on an average as A increases

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