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Atoms Test - 66...

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  • Question 1
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    In which of the following systems will the radius of the first orbit of the electron be smallest?

  • Question 2
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    In which of these, will radius of first orbit be minimum?

  • Question 3
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    In which part of the electromagnetic spectrum the Lyman series of hydrogen is found ?

  • Question 4
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    Directions For Questions

    The basic idea of Quantum Mechanics is that motion in any system is quantized.The system obeys Classical Mechanics except that not every motion which obeys the Bohr-Sommerfeld Quantization,$$\oint \vec{P}.\vec{\mathrm{d} r}=nh, n \in N,$$ where $$\vec{P}$$ is the momentum,$$\vec{r}$$ is the position vector and the integral is carried over a closed path.Assuming this is applicable to a particle of mass $$m$$ moving with a constant speed in a box of length $$L$$ having elastic collisions with the walls of the box, answer the following questions:
    ($$h=6.6\times 10^{-34}  J-sec,L=3.3 A^{\circ},m=10^{-30}kg$$)

    ...view full instructions

    The allowed momenta are given by

  • Question 5
    1 / -0

    Directions For Questions

    The basic idea of Quantum Mechanics is that motion in any system is quantized.The system obeys Classical Mechanics except that not every motion which obeys the Bohr-Sommerfeld Quantization,$$\oint \vec{P}.\vec{\mathrm{d} r}=nh, n \in N,$$ where $$\vec{P}$$ is the momentum,$$\vec{r}$$ is the position vector and the integral is carried over a closed path.Assuming this is applicable to a particle of mass $$m$$ moving with a constant speed in a box of length $$L$$ having elastic collisions with the walls of the box, answer the following questions:
    ($$h=6.6\times 10^{-34}  J-sec,L=3.3 A^{\circ},m=10^{-30}kg$$)

    ...view full instructions

    The allowed kinetic energy of the particle is

  • Question 6
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    Assume an imaginary world where angular momentum is quantized to even multiple. The longest possible wave length emitted by hydrogen in the visible spectrum is

  • Question 7
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    A particle of mass $$m$$ moves around in a circular orbit in a centro symmetric potential field u(r)$$=\dfrac{kr^{2}}{2}$$. Using Bohr’s quantization rule, the permissible energy levels are 

  • Question 8
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    Let $$\mathrm{v}_{1}$$ be the frequency of the series limit for Lyman series, $$\mathrm{v}_{2}$$ the frequency of the first line of the Lyman series and $$\mathrm{v}_{3}$$ the frequency of the series limit of Balmer series. Then which of the following relations is true?

  • Question 9
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    The radius of hydrogen atom is 0.53 $$\mathop A\limits^0$$. The radius of $$Li^{2+}$$ is of

  • Question 10
    1 / -0

    Directions For Questions

    The basic idea of Quantum Mechanics is that motion in any system is quantized.The system obeys Classical Mechanics except that not every motion which obeys the Bohr-Sommerfeld Quantization,$$\oint \vec{P}.\vec{\mathrm{d} r}=nh, n \in N,$$ where $$\vec{P}$$ is the momentum,$$\vec{r}$$ is the position vector and the integral is carried over a closed path.Assuming this is applicable to a particle of mass $$m$$ moving with a constant speed in a box of length $$L$$ having elastic collisions with the walls of the box, answer the following questions:
    ($$h=6.6\times 10^{-34}  J-sec,L=3.3 A^{\circ},m=10^{-30}kg$$)

    ...view full instructions

    The difference between I and II energy levels is

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