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Structure of Atom Test - 67

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Structure of Atom Test - 67
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  • Question 1
    1 / -0
    The boher model of atoms
    Solution

    Bohr defined stable orbits of electron revolution in his second postulate. According to this postulate:

    ·        An electron revolves around the nucleus in orbits.

    ·        The angular momentum of revolution is an integral multiple of h/2π where h is Planck’s constant.

    Hence, the angular momentum (L) of the orbiting electron is: L = nh/2π, which is quantized.  (Option A is correct)
  • Question 2
    1 / -0
    In hydrogen atom which quantity is integral multiple of $$\dfrac{h}{2\pi}$$
    Solution

  • Question 3
    1 / -0
    Which substance is discovered by the Prafulla Chandra Ray the inventor of Indian Chemical Industry ?
    Solution

  • Question 4
    1 / -0
    When a hydrogen atom is raised from ground to excited state.
    Solution
    Potential energy of hydrogen atom is given by
    $$P.E=\dfrac{-kZe}{r}$$
    As atom is excited,it's radius increases. But due to negative sign or reverse sign. Its actual potential energy increases.
    And kinetic energy is given by
    $$K.E=\dfrac{kZe}{2r}$$
    As Tom is excited, it's radius increases this resulting in decrease of kinetic energy.
    The PE increases and KE decreases.
  • Question 5
    1 / -0
    If $$n = 3 , l = 0 , m = 0 $$ then atomic number is 
    Solution
    $$n = 2 , l = 0 $$ means last shell is $$3s$$
    E.C will be $$1s^{2} 2s^{2} 2p^{6} 3s^{1 - 2} $$ 
    Atomic no. is $$11$$ or $$12$$.
  • Question 6
    1 / -0
    In the ground state, an element has $$13$$ electrons in its M-shell. The element is
    Solution
    $$13e^{-} $$ in M $$(3rd)$$ shell means $$ 3s^{2} 3p^{6} 3d^{5} $$. hence complete configuration will be $$1s^{2} 2s^{2} 2p^{6} 3s^{2} 3p^{6} 4s^{1} 3d^{5} $$
    i.e., total $$e^{-} = 24 $$. Hence the element is chromium.
  • Question 7
    1 / -0
    The maximum number of electrons in an orbit with $$l = 2 , n = 3 $$ is 
    Solution
    $$ n = 3 , l = 2 $$ means $$3d$$-subshell. Maximum number of electrons present in it $$ = 10 $$
  • Question 8
    1 / -0
    Any p-orbital can accommodate upto
    Solution
    • Any orbital can accommodate a maximum of 2 electrons with an opposite spin so a p-orbital can have 2 electrons with opposite spin. 
    • One p-orbital can accommodate up to two electrons with opposite spin while a p-subshell can accommodate up to six electrons.

    Option D is correct.
  • Question 9
    1 / -0
    If Aufbau rule is not obeyed and the electronic filling occurs orbit by orbit till saturation is reached (for a given principal quantum number $$n$$, electrons are filled in the increasing order of azimuthal quantum number $$l$$), then the percentage change in sum of all $$(n + l)$$ values for unpaired electrons in an atom of iron is $$10x$$. What is the value of $$x$$?
    Solution
    When $$n+l$$ rule is obeyed, the configuration is 

    $$^{26}Fe= 1s^{2}, 2s^{2}, 2p^{6}, 3s^{2}, 3p^{6}, 4s^{2}, 3d^{6}.$$

    Since, $$(n+l)$$ for each unpaired electron is $$5$$, so for $$4$$ unpaired electrons in $$^{26}Fe$$, $$(n+l)$$ is $$5\times 4= 20$$.

    When $$n+l$$ rule is not obeyed, the configuration is 

    $$^{26}Fe= 1s^{2}   2s^{2}   2p^{6}   3s^{2}   3p^{6}   3d^{8}.$$

    Since, $$(n+l)$$ for each unpaired electron is $$5$$, so for $$2$$ unpaired electrons in $$^{26}Fe$$, $$(n+l)$$ is $$5\times 2= 10$$.

    Now,
    % change $$= \dfrac{20-10}{20} \times 100 = 50 = 10x$$.

    $$\therefore x=5.$$
  • Question 10
    1 / -0
    The orbital diagram in which aufbau principle is violated is:
    Solution

    Hint: Aufbau principle states that electrons getting filled in the orbitals in the increasing order of energy.

    Step 1: The energy of an orbital is directly proportional to the $$(n + l)$$ value.

    The $$(n + l)$$ value for $$2s$$  level:

    For $$2s$$ energy level-

    $$n = 2$$ 

    Where $$n$$ is the principal quantum number and $$l$$ is the azimuthal quantum number.

    For $$s$$ orbital, $$l=0$$

    So, $$(n + l) = 2 + 0$$ 

    $$(n + l) = 2$$ 

    Step 2:

    The $$(n + l)$$ value for $$2p$$ level:

    For $$2p$$ energy level-

    $$n = 2$$ 

    Where $$n$$ is the principal quantum number and $$l$$ is the azimuthal quantum number.

    For $$p$$ orbital, $$l=1$$

    So, $$(n + l) = 2 + 1$$ 

    $$(n + l) = 3$$ 

    Step 3:

    Comparison of $$(n + l)$$ value of two energy levels:

    As the value of $$(n + l)$$ for $$2s$$ orbital is less than that of $$2p$$ orbital so $$2s$$ orbital has lower energy than $$2p$$ orbital. Therefore $$2s$$ orbital will get filled first then $$2p$$ orbital will starts filling.

    Final answer:

    So the orbital diagram in which Aufbau principle is violated is option (B).

    So the correct option is (B).

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