20 kV electrons can produce X-rays with a mi | vedclass

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

Question

(A) The minimum wavelength $(\lambda_{min})$ of $X$-rays produced by electrons accelerated through a potential difference $V$ is given by the Duane-Hu

Vedclass · Accepted Answer

$0.062 \ nm$

Vedclass · Answer

(A) The minimum wavelength $(\lambda_{min})$ of $X$-rays produced by electrons accelerated through a potential difference $V$ is given by the Duane-Hunt law: $\lambda_{min} = \frac{hc}{eV}$.Given $V = 20 \ kV = 20 	imes 10^3 \ V$.Using the values $h = 6.626 	imes 10^{-34} \ J \cdot s$,$c = 3 	imes 10^8 \ m/s$,and $e = 1.6 	imes 10^{-19} \ C$:$\lambda_{min} = \frac{12400 \ Å \cdot V}{V 	ext{ (in volts)}}$.$\lambda_{min} = \frac{12400}{20000} \ Å = 0.62 \ Å = 0.062 \ nm$.

$20 \ kV$ electrons can produce $X$-rays with a minimum wavelength of

Similar Questions

An electron beam strikes a target at an accelerating potential of $50 \,kV$. Which of the following frequencies of $X$-rays will not be obtained?

The wavelength of the $K_\alpha$ line for an element of atomic number $Z_1 = 29$ is $\lambda$. What is the wavelength of the $K_\alpha$ line for an element of atomic number $Z_2 = 15$? (Take Moseley's constant $b = 1$ for both elements.)

The potential difference applied to an $X-$ray tube is increased. As a result,in the emitted radiation:

Find the $(a)$ maximum frequency,and $(b)$ minimum wavelength of $X$-rays produced by $30 \; kV$ electrons.

Assertion: $X-$rays travel with the speed of light.
Reason: $X-$rays are electromagnetic rays.

Vedclass Test Series

Exam Paper Generator

Online Exam Module