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A hydrogen atom and a ${Li}^{2 +}$ ion are both in the second excited state. If $L_{H}$ and $L_{Li}$ are their respective electronic angular momenta, and $E_{H}$ and $E_{Li}$ are their respective energies, then

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Important Questions on Atoms

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 41

Imagine an atom made up of a proton and a hypothetical particle of double the mass of the electron but having the same charge as that of the electron. Apply the Bohr atom model and consider all possible transitions of this hypothetical particle to the first excited level. The longest wavelength photon that will be emitted has wavelength

λ

, (given in terms of Rydberg constant

R

for hydrogen atom) equal to

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 43

The magnetic field at the centre of a hydrogen atom due to the motion of the electron in the first Bohr orbit is

B

. The magnetic field at the centre due to the motion of the electron in the second Bohr orbit will be

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 44

The energy of a photon of a characteristic X-ray from a Coolidge tube comes from

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 45

A hydrogen atom in ground state absorbs

12.09 eV

of energy. The orbital angular momentum of the electron

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 46

An excited hydrogen atom emits a photon of wavelength

λ

in returning to the ground state. The quantum number

n

of the excited state is given by

(R =

Rydberg constant)

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 47

An electron in a hydrogen atom makes a transition

n_{1} \to n_{2}

where

n_{1}

and

n_{2}

are principal quantum numbers of the states. Assume the Bohr's model to be valid, the frequency of revolution in initial state is
eight times that of final state. The ratio

\frac{n_{1}}{n_{2}}

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 48

An electron of mass

m_{e}

is moving in

n^{th}

orbit of hydrogen atom. Magnetic field at centre due to motion of electron, is(

r_{0} =

Bohr radius)

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Gamma Question Bank for Engineering Physics>Chapter 28 - Atoms>Assignment Set-2>Q 49

Electrons of mass

m

with de-Broglie wavelength

λ

fall on the target in an

X

-ray tube. The cut-off wavelength of the emitted

X

-rays is:

A hydrogen atom and a Li2+ ion are both in the second excited state. If LH and LLi are their respective electronic angular momenta, and EH and ELi are their respective energies, then

Important Questions on Atoms

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A hydrogen atom and a ${Li}^{2 +}$ ion are both in the second excited state. If $L_{H}$ and $L_{Li}$ are their respective electronic angular momenta, and $E_{H}$ and $E_{Li}$ are their respective energies, then