Physics: An electron, traveling at a speed of 5.90 × 10 6 5.90×106 m/s, strikes the target of an x-ray tube. upon impact, the electron decelerates to three-quarters of its original speed, with an x-ray photon being emitted in the process. what is the wavelength of the photon?

An electron, traveling at a speed of 5.90 × 10 - id59010654754173, astultz309459

Ответ:

Soloaa

16.01.2022

$2.84\cdot 10^{-8} m$

Explanation:

Due to the law of conservation of energy, the energy of the emitted X-ray photon is equal to the energy lost by the electron.

The initial kinetic energy of the electron is:

$K_i = \frac{1}{2}mv_i^2 = \frac{1}{2}(9.11\cdot 10^{-31}kg)(5.90\cdot 10^6 m/s)^2=1.59\cdot 10^{-17}J$

The electrons decelerates to 3/4 of its speed, so the new speed is

$v_f = \frac{3}{4}v_i = \frac{3}{4}(5.90\cdot 10^6 m/s)=4.425\cdot 10^6 m/s$

So the final kinetic energy is

$K_f = \frac{1}{2}mv_f^2=\frac{1}{2}(9.11 \cdot 10^{-31} kg)(4.425\cdot 10^6 m/s)^2=8.9\cdot 10^{-18} J$

So, the energy lost by the electron, which is equal to the energy of the emitted photon, is

$E=K_i - K_f =1.59\cdot 10^{-17} J-8.9\cdot 10^{-18} J=7\cdot 10^{-18} J$

The wavelength of the photon is related to its energy by

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

where h is the Planck constant and c the speed of light. Substituting E, we find

$\lambda=\frac{(6.63\cdot 10^{-34}Js)(3\cdot 10^8 m/s)}{7\cdot 10^{-18} J}=2.84\cdot 10^{-8} m$

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Ответ:

BossEagle61

15.08.2021

Physics

Stars live to long to be observed from birth to death

Explanation:

The life expectancy of a star are millions of years compared to that of human thereby making it difficult to study the life path and activities of the stars till the point of extinction. This brought about scientist studying different star with different ages in order to answer their burning question on formation of stars which is called the figuring out process(stellar activity) and this makes it difficult and tedious.

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An electron, traveling at a speed of 5.90 × 10 6 5.90×106 m/s, strikes the target of an x-ray tube. upon impact, the electron decelerates to three-quarters of its original speed, with an x-ray photon being emitted in the process. what is the wavelength of the photon?

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