1.

    Which of the following is NOT a limitation of Bohr's model?

    A

    It fails to explain the spectra of multi-electron atoms.

    B

    It doesn't account for the wave nature of electrons.

    C

    It violates the Heisenberg uncertainty principle.

    D

    It correctly predicts the energy levels of hydrogen-like species.

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    1.

    Suppose an electron is attracted towards the origin by a forcekr\frac{k}{r} where β€²kβ€²{\rm{'k'}} is a constant and β€²rβ€²{\rm{'r'}} is the distance of the electron from the origin. By applying Bohr model to this system, the radius of the nth{{\rm{n}}^{{\rm{th}}}} orbital of the electron is found to be β€²rnβ€²{\rm{'}}{{\rm{r}}_{\rm{n}}}^\prime and the kinetic energy of the electron to be β€²Tnβ€²{\rm{'}}{{\rm{T}}_{\rm{n}}}^\prime . Then which of the following is true

    A

    Tn{{\rm{T}}_{\rm{n}}} independent of n,rn∝n{\rm{n}},{{\rm{r}}_{\rm{n}}} \propto {\rm{n}}

    B

    Tn∝1n,rn∝n{{\rm{T}}_{\rm{n}}} \propto \frac{1}{n},{{\rm{r}}_{\rm{n}}} \propto {\rm{n}}

    C

    Tn∝1n,rn∝n2{{\rm{T}}_{\rm{n}}} \propto \frac{1}{n},{{\rm{r}}_{\rm{n}}} \propto {{\rm{n}}^2}

    D

    Tn∝1n2,rn∝n2{{\rm{T}}_{\rm{n}}} \propto \frac{1}{{{n^2}}},{{\rm{r}}_{\rm{n}}} \propto {{\rm{n}}^2}

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    6.

    What will be the angular momentum of an electron, if energy of this electron in HH-atom is βˆ’1.5  eV - 1.5\,\,eV (in JJ-ss)

    A

    1.05  imes10βˆ’341.05\,\, imes {10^{ - 34}}

    B

    2.1imes10βˆ’342.1 imes {10^{ - 34}}

    C

    3.15  imes10βˆ’343.15\,\, imes {10^{ - 34}}

    D

    βˆ’2.1  imes10βˆ’34 - 2.1\,\, imes {10^{ - 34}}

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    8.

    Given the value of Rydberg constants is 107 mβˆ’1{\rm{1}}{{\rm{0}}^7}\,{{\rm{m}}^{ - 1}}, the wave number of the last line of the Balmer series in hydrogen spectrum will be:

    A

    0.025 imes104 mβˆ’1 {\rm{0}}{\rm{.025}}\, imes {\rm{1}}{{\rm{0}}^4}\,{{\rm{m}}^{ - 1}}\,

    B

    0.5 imes107 mβˆ’1{\rm{0}}{\rm{.5}}\, imes {\rm{1}}{{\rm{0}}^7}\,{{\rm{m}}^{ - 1}}

    C

    0.25 imes107 mβˆ’1{\rm{0}}{\rm{.25}}\, imes {\rm{1}}{{\rm{0}}^7}\,{{\rm{m}}^{ - 1}}

    D

    2.5 imes107 mβˆ’1{\rm{2}}{\rm{.5}}\, imes {\rm{1}}{{\rm{0}}^7}\,{{\rm{m}}^{ - 1}}

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    10.

    To explain his theory, Bohr used

    A

    Conservation of linear momentum

    B

    Conservation of angular momentum

    C

    Conservation of quantum frequency

    D

    Conservation of energy

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