Concept explainers
(a)
The voltage required to accelerate the proton.
(a)
Answer to Problem 2.15P
The voltage required to accelerate the proton from zero velocity to a velocity corresponding to a de Broglie wavelength of
Explanation of Solution
Given:
De-Broglie Wavelength,
Mass of the proton,
Initial velocity,
Formula used:
The de-Broglie wavelength of the particle is given as
Here,
Calculation:
Calculating the velocity of the proton corresponding to a wavelength of
Plugging the values in the above equation:
We need to check whether the relativistic effect is important
The voltage required to accelerate the proton from zero velocity to a velocity corresponding to a de Broglie wavelength of
Conclusion:
Thus,the voltage required to accelerate the proton from zero velocity to a velocity corresponding to a de Broglie wavelength of
(b)
The kinetic energy of an electron corresponding to a de Broglie wavelength of
(b)
Answer to Problem 2.15P
The kinetic energy of an electron corresponding to a de Broglie wavelength of
Explanation of Solution
Given:
De-Broglie Wavelength,
Mass of the electron,
Formula used:
Kinetic energy is given as
Here,
Calculation:
The velocity of the electron corresponding to a wavelength of
Plugging the values in the above equation
Since the speed of the electron is greater than the speed of light in a vacuum, therefore, we need to consider the effect of relativity
We need to check whether the relativistic effect is important
The kinetic energy of the electron corresponding to a wavelength of
Conclusion:
The kinetic energy of an electron corresponding to a de Broglie wavelength of
(c)
The energy of an X-ray photon corresponding to a wavelength of
(c)
Answer to Problem 2.15P
The energy of an X-ray photon corresponding to a wavelength of
Explanation of Solution
Given:
Wavelength,
Formula used:
The energy of a photon is given as:
Here,
Calculation:
The energy of a photon is given as
Plugging the values in the above equation
Conclusion:
The energy of an X-ray photon corresponding to a wavelength of
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Chapter 2 Solutions
Introduction To Health Physics
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