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How can I calculate the orbital angular momentum of an electron?

Important Questions on Structure of Atom

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Given below are two statements :
Statement I : Rutherford's gold foil experiment cannot explain the line spectrum of hydrogen atom.

Statement II : Bohr's model of hydrogen atom contradicts Heisenberg's uncertainty principle.

In the light of the above statements, choose the most appropriate answer from the options given below:

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Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?
HARD
A particle of mass m moves in a circular orbit in a central potential field U(r)=U0r4. If Bohr's quantization conditions are applied, radii of possible orbitals rn vary with n1α, where α is _______ .
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The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is equal to h2x ma02. The value of 10 x is (a0 is radius of Bohr's orbit)

(Nearest integer)

[Given: π=3.14]

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The radius of the second Bohr orbit, in terms of the Bohr radius, a0, in Li2+ is:
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Energy of an electron in the second orbit of hydrogen atom is E2. The energy of electron in the third orbit of He+will be
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Given below are two statements:

Statement I : Bohr's theory accounts for the stability and line spectrum of Li+  ion.

Statement II : Bohr's theory was unable to explain the splitting of spectral lines in the presence of a magnetic field.

In the light of the above statements, choose the most appropriate answer from the options given below:

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Calculate the wavelength of first spectral line of Balmer series for hydrogen. Given that Rydberg constant, R=1.097 x 107 m-1
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The time period of revolution of electron in its ground state orbit in a hydrogen atom is 1.6×10-16s. The frequency of revolution of the electron in its first excited state (in s-1 ) is:
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If the radius of electron orbit in a hydrogen like species is 52.9pm, the angular momentum of electron in that orbit is
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For an electron in the d-orbital, the orbital angular momentum is
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According to Bohr's theory, the time averaged magnetic field at the centre (i.e., nucleus) of a hydrogen atom due to the motion of electrons in the nth orbit is proportional to: (n= principal quantum number)
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How many spectral times will be observed for a hydrogen atom, when an electron retums from 7th  shell to 3rd  shell ?
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In Bohr's atomic model, the electron is assumed to revolve in a circular orbit of radius 0.5 A. If the speed of electron is 2.2×106 m s-1. Then the current associated with the electron will be__________ ×10-2 mA. [Take π as 227
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The emission series of hydrogen atoms is given by, 1λ=R1n12-1n22, where, R is the Rydberg's constant. For a transition from n2 to n1, the relative change Δλλ in the emission wavelength, if hydrogen is replaced by deuterium (assume that, the mass of proton and neutron are the same and approximately 2000 times larger than that of electrons) is

HARD
Using Bohr's quantization condition for angular momentum of an electron revolving around the hydrogen nucleus, establish the expression of the radius of the stationary orbits of hydrogen atom.
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Show that, according to Bohr, the radius of an electron revolving in the nth orbit of Hydrogen atom is rn=ε0h2πme2n2.
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What are the limitations of Bohr's theory of hydrogen atom?
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A donor atom in a semiconductor has a loosely bound electron. The orbit of this electron is considerably affected by the semiconductor material but behaves in many ways like an electron orbiting a hydrogen nucleus. Given that the electron has an effective mass of 0.07 me, where me is mass of the free electron and the space in which it moves has a permittivity 13 ε0, then the radius of the electron's lowermost energy orbit will be close to (take, the Bohr radius of the hydrogen atom is 0.53 A°)
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The magnitude of acceleration of the electron in the nth orbit of hydrogen atom is aH and that of singly ionised helium atom is aHe. The ratio aH:aHe is,