Chapter 3: Q35E (page 94)

Determine the wavelength of an X-ray photon that can impart, at most $80 k e V$ of kinetic energy to a free electron.

Short Answer

Expert verified

The wavelength of an X-ray photon is $1.55 \times 10^{- 11} m .$

Step by step solution

Identification of the given data:

The given data can be listed below as,

The kinetic energy of the photon is $E = 80 k e V .$ .

Significance of kinetic energy of an electron:

The kinetic energy of an X-ray photon can be obtained with the help of the energy equation. The relation between kinetic energy and a photon’s wavelength is a direct linear one.

Determination of the wavelength of an X-ray photon

The relation of the wavelength of an X-ray photonis expressed as,

$λ = \frac{h c}{E}$

Here, $λ$ is thewavelength of an X-ray photon, $h$ is the Plank’s constant whose value is $6.63 \times 10^{- 34} J \cdot s$ and $c$ is the light speed in vacuum whose value is $3 \times 10^{8} m / s$ .

Substitute all the known values in the above equation.

localid="1657611613977" $λ = [\frac{(6.63 \times 10^{- 34} J \cdot s) (3 \times 10^{8} m / s)}{(80 keV) \times (\frac{1.6 \times 10^{- 16} J}{1 keV})}] = 1.55 \times 10^{- 11} m$

Thus, the wavelength of an X-ray photonis $1.55 \times 10^{- 11} m$ .

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Determine the wavelength of an X-ray photon that can impart, at most $80 k e V$ of kinetic energy to a free electron.

Short Answer

Step by step solution

Identification of the given data:

Significance of kinetic energy of an electron:

Determination of the wavelength of an X-ray photon

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Determine the wavelength of an X-ray photon that can impart, at most 80keV of kinetic energy to a free electron.

Short Answer

Step by step solution

Identification of the given data:

Significance of kinetic energy of an electron:

Determination of the wavelength of an X-ray photon

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Mechanics and Materials

Circular Motion and Gravitation

Force

Electric Charge Field and Potential

Modern Physics

Famous Physicists

Study anywhere. Anytime. Across all devices.

Determine the wavelength of an X-ray photon that can impart, at most $80 k e V$ of kinetic energy to a free electron.