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Structure of Atom Test - 43

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Structure of Atom Test - 43
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  • Question 1
    1 / -0
    Assertion (A) : Atoms with completely filled and half-filled subshells are stable.

    Reason (R) : Completely filled and half-filled subshells have the symmetrical distribution of electrons and have maximum exchange energy.
    Solution
    Assertion (A) : Atoms with completely filled and half filled sub-shells are stable.
    Reason (R) : Completely filled and half filled sub-shells have symmetrical distribution of electrons and have maximum exchange energy.
    For example, He with completely filled $$1s$$ sub-shell and $$N$$ with half filled $$2p$$ sub-shell are stable.
     Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
    Hence, the option (A) is the correct answer.
  • Question 2
    1 / -0
    If $$n=6$$, the correct sequence for filling of electrons will be:
    Solution
     If $$n=6$$, the correct sequence for filling of electrons will be 

    $$\displaystyle ns\longrightarrow \left( n-2 \right) f\longrightarrow \left( n-1 \right) d\longrightarrow np$$.

    It will be $$\displaystyle 6s\longrightarrow 4 f \longrightarrow5 d\longrightarrow 6 p$$

    The energy of $$4 f$$ and $$5 d$$ orbitals are in between the energies of $$4s$$ and $$6 p$$ orbitals.

    Note: Higher is the  $$(n+l)$$, higher will be the energy of the orbital.

    For n = 6
    6s = 6+0 = 6
    6p = 6+1 = 7
    5d = 5+2 = 7
    4f = 4+3 = 7
    Hence, correct order is: $$ns\longrightarrow \left( n-2 \right) f\longrightarrow \left( n-1 \right) d\longrightarrow np$$

    Hence, the correct option is $$D$$
  • Question 3
    1 / -0
    The density of water and ethanol at room temperature is $$1.0$$g $$/$$mL and $$0.789$$g$$/$$mL respectively. What volume of ethanol contains the same number of molecules as are present in $$100$$mL of water?
    Solution
    An equal number of moles contain equal number of molecules.

    $$\displaystyle\dfrac{wt. \ of \ C_2H_5OH}{mol. \ wt. \ of \ C_2H_5OH}=\frac{wt. of H_2O}{mol. \ wt. \ of \ H_2O}$$

    $$\displaystyle\frac{0.789\times \ volume \ of \ C_2H_5OH}{46}=\dfrac{1.0\times 100}{18}$$

    Volume of $$C_2H_5OH=\displaystyle\frac{100}{18}\times \dfrac{46}{0.789}$$

                                         $$=323.9$$ mL.

    Hence, option $$C$$ is correct.
  • Question 4
    1 / -0
    Which of the following statement in relation to the hydrogen atom is correct?
    Solution
    Hydrogen atom is in $$1{ s }^{ 1 }$$ and the $$3s,3p$$ and $$3d-$$ orbitals will have the same energy w.r.t $$1s$$ orbital
  • Question 5
    1 / -0
    According to the drawback of Rutherford's structure of atom electron should fall into the :
    Solution
    Rutherford explained that electrons revolve around the nucleus in a circular path. By following a circular path, energy is lost by electrons, and ultimately they will fall into the nucleus.
    Hence option D is correct.
  • Question 6
    1 / -0
    $$_7M^{14}+\,_2He^4\rightarrow X+\,_1H^1, X$$ is:
    Solution
    $$_7M^{14}+\ _2He^4\rightarrow\ _8O^{17}\ +_1H^1$$

    Balancing mass number: $$14+4=17+1=18$$

    Balancing atomic number: $$7+2=8+1=9$$
  • Question 7
    1 / -0
    The ionization energy of $${ Li }^{ 2+ }$$ is equal to
    Solution
    Ionization energy of an atom  $$=hc R{ Z }^{ 2 }$$
    where $$R$$ is the Rydberg constant and $$Z$$ is the atomic number.
    We know,  $$Z=3$$ for $${ Li }^{ 2+ }$$
    Ionization energy of $$Li^{2+}$$  $$={ \left( 3 \right)  }^{ 2 }hcR$$ $$=9 hcR$$
  • Question 8
    1 / -0
    The energy liberated when an excited electron returns to its ground state can have:
    Solution
    The energy liberated when an excited electron returns to its ground state can have only specified positive values which corresponds to the energy difference between excited state and ground state. Such value cannot be negative.
  • Question 9
    1 / -0
    According to classical theory, if an electron is moving in a circular orbit around the nucleus:
    Solution
    According to the classical theory if an electron is moving in a circular orbit around the nucleus its orbit will continuously shrink.

    The electron must emit radiation and gradually lose energy, its motion would slow down and it would not be able to withstand the attraction of the nucleus. The orbit would become smaller and smaller and the electron would fall into the nucleus.
  • Question 10
    1 / -0
    On Bohr stationary orbits:
    Solution

    HintBohr orbit is the hypothetical path of an electron around the nucleus of the Bohr atom.

    Explanation: 

    • Electrons revolve in fixed stationary orbits where they do not emit radiation. 

    • The angular momentum of electrons is $$nh/2\pi$$.

    • Each stationary state is associated with a definite amount of energy.

    • The energy of an electron remains constant.

    Hence, the correct answer is option $$C.$$

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