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forsale [732]
3 years ago
5

Given an electron beam whose electrons have kinetic energy of 10.0 kev , what is the minimum wavelength λmin of light radiated b

y such beam directed head-on into a lead wall? express your answer numerically in nanometers.
Physics
2 answers:
IgorLugansk [536]3 years ago
4 0

Answer: 0.1276 nm

Explanation:

E=\frac{hc}{\lambda}

E= energy of radiation =10.0 kev= 1.6\times 10^{-15}J          

1kev=1.6\times 10^{-16}Joules

h = Planck's constant= 6.63\times 10^{-34}Js

c = velocity of light =3.08\times 10^{8}ms^{-1}

\lambda = wavelength of radiation = ?

\lambda=\frac{hc}{E}

\lambda=\frac{6.63\times 10^{-34}Js\times 3.08\times 10^{8}ms^{-1}}{1.6\times 10^{-15}J}

\lambda=12.76\times 10^{-11}m=0.1270\times 10^{-9}m

\lambda=0.1276nm

kolbaska11 [484]3 years ago
3 0
To answer the problem we would be using this formula which isE = hc/L where E is the energy, h is Planck's constant, c is the speed of light and L is the wavelength 
L = hc/E = 4.136×10−15 eV·s (2.998x10^8 m/s)/10^4 eV 

= 1.240x10^-10 m 

= 1.240x10^-1 nm
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