Concepts Of Physics MCQ Edition [Volume 2]
- Exam
- Concepts Of Physics MCQ Edition [Volume 2]
- Subject
- Physics
- Chapter
- X-rays
Concepts Of Physics MCQ Edition [Volume 2] · Physics · X-rays
In a colour TV, the electron beam is accelerated through 32 kV...
In a colour TV, the electron beam is accelerated through before striking the screen. Determine the wavelength of the most energetic X-ray photon produced.
Options
- A
- B
- C
- D
Correct answer
D.
Step-by-step solution
The maximum energy of the X-ray photon produced is equal to the kinetic energy of the accelerated electron.
E_{\text\max} = \dfrac{hc}{\lambda_{\text\min}} = eV
\lambda_{\text\min} = \dfrac{hc}{eV}
Substituting and :
\lambda_{\text\min} = \dfrac{1240}{32000} \text{ nm}
\lambda_{\text\min} = 0.03875 \text{ nm}
Converting to picometers ():
\lambda_{\text\min} = 0.03875 \times 1000 \text{ pm} = 38.75 \text{ pm} \approx 38.8 \text{ pm}
E_{\text\max} = \dfrac{hc}{\lambda_{\text\min}} = eV
\lambda_{\text\min} = \dfrac{hc}{eV}
Substituting and :
\lambda_{\text\min} = \dfrac{1240}{32000} \text{ nm}
\lambda_{\text\min} = 0.03875 \text{ nm}
Converting to picometers ():
\lambda_{\text\min} = 0.03875 \times 1000 \text{ pm} = 38.75 \text{ pm} \approx 38.8 \text{ pm}