Energy Levels & Photon Emission (AQA A Level Physics)

A particle of mass m has a de Broglie wavelength λ.

What is the kinetic energy of this particle?

A proton moving with speed v has a de Broglie wavelength λ.

What is the de Broglie wavelength of an alpha particle moving at the speed 2v?

The diagram gives some of the energy levels of a hydrogen atom.

What is the wavelength of the photon released from the transition?

The following is an energy level diagram for an atom. Electron transitions give rise to emission of spectrum wavelengths λ₁, λ₂, λ₃, λ₄, λ₅.

With reference to the diagram, which of the following statements is correct?

The values of the lowest three energy levels in a particular atom are shown in the table.

The diagram shows these levels together with the ground state of the atom.

What is the frequency of the radiation emitted when an electron moves from level 3 to level 2?

Neutrons moving in a beam have the same de Broglie wavelength as electrons in a separate beam moving at a speed of 51 km s^–1.

What is the speed of the neutrons?

The diagram shows an energy–level diagram for a hydrogen atom.

Which transition produces a photon of wavelength 103 nm?

An atom absorbs a photon of UV radiation. This causes excitation of the atom from its ground state. Another photon of visible radiation is then absorbed. Eventually, a photon of gamma radiation is emitted.

Which energy level diagram represents this process?

A particle of mass m has a kinetic energy of K.

What is the de Broglie wavelength of this particle?

Which of the following statements about muons is incorrect?

What is the de Broglie wavelength of an alpha particle with kinetic energy 4.8 MeV?

A beam of electrons R is accelerated from rest by a potential difference of 200 V and another beam of electrons S is accelerated from rest by a potential difference of 1800 V.

When they behave like waves, what is the ratio of their respective wavelengths ?

The energy level diagram below shoes six possible transitions between the energy levels of an atom. Each transition between levels creates a photon of definite energy and frequency.

If the increase in frequency is from left to right, which of the following spectrum corresponds most closely to the transitions?

Transitions between three energy levels in a particular atom give rise to the three spectral lines of frequencies, in decreasing magnitude and with wavelengths λ₁ , λ₂ and λ₃ .

Which of the following correctly related  and and λ₁ , λ₂ and λ₃

	Frequency	Wavelength
A
B
C
D

A particular emission is indicated by the arrow on the line spectrum below.

The frequency increases from left to right. The associated energy level transitions for the these emission lines are shown below.

Which transition is the line in the emission spectrum indicating?

The diagram shows the energy levels for a mercury atom.

A photon is emitted with a wavelength of 125 nm when an electron de–excites from energy level E₂ to the ground state.

What is the energy of E₂?

The diagram shows some of the energy levels for a hydrogen atom.

A free electron of kinetic energy 12.5 eV collides with a hydrogen atom in its ground state. The hydrogen atom is excited from its ground state to the first excited state. The kinetic energy of the free electron after the collision is

An alpha particle has a de Broglie wavelength of 62 fm.

What is the kinetic energy of the alpha particle?

The ionisation energy of hydrogen is 13.6eV

What is the de Broglie wavelength of the slowest electron that can ionise a hydrogen atom when it collides with it?

Which of the following graphs correctly shows how the kinetic energy E_k of a particle with constant mass and the energy E of a photon of light varies with their wavelength λ?