Answer

Verified

62.4k+ views

**Hint**Here the energy of the electron bombarding on the target will be given by the energy of the X-ray photons which are released using the wavelength of the X-ray given in the question from the formula $E = \dfrac{{hc}}{\lambda }$

**Formula Used**

In this solution we will be using the following formula,

$E = h\upsilon $

where $h$ is the Planck’s constant

$E$ is the energy and $\upsilon $ is the frequency of the wave

and $\upsilon = \dfrac{c}{\lambda }$ where $\lambda $ is the wavelength of the wave and $c$ is the velocity of light.

**Complete step-by-step answer:**

When an electron bombards the target, the kinetic energy of the electron transfers in the interaction and a X-ray with the highest possible energy is released.

So the energy of the electron will be the energy of the X-ray. Now from the energy of the X-ray, we can find its frequency by the formula

$E = h\upsilon $ where $\upsilon $ is the frequency of the wave

The frequency can be written as, $\upsilon = \dfrac{c}{\lambda }$

So substituting we get,

$E = \dfrac{{hc}}{\lambda }$

From the question we have, the wavelength as $\lambda = 1\mathop {\text{A}}\limits^o = 1 \times {10^{ - 10}}m$

and the value of the speed of light and the Planck’s constant are,

$c = 3 \times {10^8}m/s$ and $h = 6.6 \times {10^{ - 34}}{m^2}kg/s$

So substituting all the values we get

$E = \dfrac{{6.6 \times {{10}^{ - 34}} \times 3 \times {{10}^8}}}{{1 \times {{10}^{ - 10}}}}$

On doing the calculation we get,

$E = 1.98 \times {10^{ - 15}}J$

But the options are given in electron-volt. So to convert, we divide the value obtained by a factor of $1.6 \times {10^{ - 19}}$. Hence we get,

$E = \dfrac{{1.98 \times {{10}^{ - 15}}}}{{1.6 \times {{10}^{ - 19}}}}eV$

On doing the division we get,

$E = 12375eV$

**So the correct answer is option D.**

**Note:**In an X-ray tube, current is passed through the tungsten filament which enables it to get heated up and releases electrons by thermionic emission. These electrons bombard the target which results in conversion of energy into heat and X-ray photons.

Recently Updated Pages

Write a composition in approximately 450 500 words class 10 english JEE_Main

Arrange the sentences P Q R between S1 and S5 such class 10 english JEE_Main

What is the common property of the oxides CONO and class 10 chemistry JEE_Main

What happens when dilute hydrochloric acid is added class 10 chemistry JEE_Main

If four points A63B 35C4 2 and Dx3x are given in such class 10 maths JEE_Main

The area of square inscribed in a circle of diameter class 10 maths JEE_Main

Other Pages

The resultant of vec A and vec B is perpendicular to class 11 physics JEE_Main

Differentiate between homogeneous and heterogeneous class 12 chemistry JEE_Main

Electric field due to uniformly charged sphere class 12 physics JEE_Main

Excluding stoppages the speed of a bus is 54 kmph and class 11 maths JEE_Main