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Solved problems for the chapter:

Photon

View the theory »

Atomic Interaction with Photons

1. Spectrometer

2. Emission spectrum

2.1. Continuous emission spectrum

2.2. Line emission spectrum

3. Absorption spectrum

4. X-rays

5. Forum

↓ Show theory [1] ↓

Detailed solution steps are available at:

https://en.openprof.com/wb/chapter:photon/4536/

Example 1.

Calculate the minimum wavelength of radiation emanating from an X-ray tube operating at 9000 V.

Note that:

Example 2.

Calculate the voltage at which an X-ray tube operates if it emits radiation with a minimum wavelength of 100 pm.

Note that:

An X-ray tube operates at a voltage of 10 kV. What is the energy of the photons emanating from this tube? Which part of the spectrum do they belong to?

Calculate the maximum frequency of radiation emanating from an X-ray tube operating at a voltage of 13500 V.

Note that:

The work function for electrons in a metal is equal to 26 eV. The surface of this metal is irradiated with X-rays. In doing so, electrons are emitted from the metal, the kinetic energy of which is measured. What is the maximum kinetic energy that the emitted electrons can have if the X-ray tube is operated at 1.2 kV?

A metal is irradiated with X-rays. The work function for the electrons of this metal is 9 eV. We measure that the ejected electrons have a speed of 50,000 km/s. What energy do X-rays have? What is the voltage in the X-ray tube to get these rays?

Note that:

If we reduce the voltage of an X-ray tube by 15 kV, the minimum wavelength of the emitted radiation increases becomes doubled. What is the initial and final minimum wavelength of radiation from this X-ray tube?

Note that:

The distance between adjacent atoms in the crystal lattice of a substance is 200 pm. What must be the voltage of the X-ray tube in order to feel the structure of the crystal with X-rays?

Note that:

In an X-ray tube, an electron emitted by the cathode is accelerated with a voltage of 19 kV. The electron collides with the anode and excites one of its atoms. Assume that the electron gives all its energy to the atom. This atom then returns to its ground state by emitting one photon.

How many joules is the energy of the photon emitted by the atom on its return to the ground state?
What energy does the atom in the anode receive from the electron?
What is the velocity of the emitted photon?
Which part of the electromagnetic wave spectrum does this photon belong to?

Take:

10.

An unexcited hydrogen atom with a kinetic energy of 15 eV collides with a stationary hydrogen atom in the ground state. The collision of the atoms is inelastic and after the collision, the stationary hydrogen atom jumps into the first excited state and is still stationary. Calculate the kinetic energy of the first atom after the collision.

The ground state energy of a hydrogen atom is .

11.

An electron with a kinetic energy of 17.5 eV collides with a stationary hydrogen atom. The ground state energy of an electron of a hydrogen atom is . After the collision, the atom is still stationary, and the electron still has 4.75 eV of kinetic energy. In what excited state is the hydrogen atom after the collision?