What must be the kinetic energy of an electron if the ratio of its de Broglie...

Question

Question

What must be the kinetic energy of an electron if the ratio of its de Broglie wavelength to its Compton wavelength is 10^-3?

science physics

Answer 1

Answer #1

solution:

Compton wavelength L=h/mc (2)

where h = Planck's constant

m = rest mass of the electron.

c =speed of light

deBroglie wavelength L=h/mv. (2)

if the ratio of its de Broglie wavelength to its Compton wavelength is 10^-3 = c/v

v/c =10^3

v =c*10^3

K.E = .5 mv^2 (3)

me =9.109 × 10^-31 kg

c =3*10^8 m/s =speed of light

you can put all the values in equation 3 and find the answer

K.E = 4.1*10^-8 ans

Answer 2

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