In an X-ray tube,electrons bombarding the tar | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) The energy $E$ of the bombarding electrons is equal to the maximum energy of the $X$-ray photons produced,which corresponds to the minimum wavelen

Vedclass · Accepted Answer

$12375$

Vedclass · Answer

(B) The energy $E$ of the bombarding electrons is equal to the maximum energy of the $X$-ray photons produced,which corresponds to the minimum wavelength $\lambda_{min}$.Using the relation $E = \frac{hc}{\lambda_{min}}$,where $h = 6.626 	imes 10^{-34} \; J\cdot s$,$c = 3 	imes 10^8 \; m/s$,and $\lambda_{min} = 1 \; \mathring{A} = 10^{-10} \; m$.In terms of electron-volts $(eV)$,the formula is $E(eV) = \frac{12400}{\lambda(\mathring{A})}$ (using $hc \approx 12400 \; eV\cdot\mathring{A}$).Substituting the given value: $E = \frac{12400}{1} = 12400 \; eV$.Given the options provided and the standard approximation $hc \approx 12375 \; eV\cdot\mathring{A}$,we calculate: $E = \frac{6.63 	imes 10^{-34} 	imes 3 	imes 10^8}{1.602 	imes 10^{-19} 	imes 10^{-10}} \approx 12415 \; eV$.Based on the provided options,the closest value is $12375 \; eV$.

In an $X$-ray tube,electrons bombarding the target produce $X$-rays of minimum wavelength $1\; \mathring{A}$. What must be the energy of the bombarding electrons in $eV$?

Similar Questions

$X$-rays do not undergo diffraction because of their .....

The energy of an electromagnetic radiation is $14.4 \, KeV$. To which part of the electromagnetic spectrum does it belong?

If the attenuation coefficient of aluminum for soft $X$-rays is $1.73 \, cm^{-1}$,what percentage of $X$-rays will pass through an aluminum sheet of thickness $1.156 \, cm$?

Moseley's law relates the frequencies of line $X$-rays with the following characteristics of the target element:

An $X$-ray beam of wavelength $1 \ \mathring A$ is incident on a crystal with a lattice spacing of $2.8 \ \mathring A$. Find the value of the Bragg angle in degrees for the first-order diffraction.

Vedclass Test Series

Exam Paper Generator

Online Exam Module