how to solve this please freinds tell me
helpp
Answers
Answer:
The answer is 7.252747253× 10^-10
Kinetic energy of electron = Ek = 120 eV
Plancks constant = h = 6.6 x 10-34 Js
Mass of an electron = 9.1 x 10-31 kg
Charge on an electron = 1.6 x 10-19 C
a) For an electron, the kinetic energy can be expressed as -
(1/2) mv2 = Ek
v2 = 2eEk/m
Therefore, v = √[(2 x 1.6 x 10-19 x 120)/9.1 x 10-31]
= 6.496 x 106 m/s
The momentum of an accelerated electron = p = mv
So p = 9.1 x 10-31 x 6.496 x 106
= 5.91 x 10-24 kg m/s
Thus, momentum of each electron is 5.91 x 10-24 kg m/s.
b) Speed of electron = v = 6.496 x 106 m/s.
c) De broglie wavelength of an electron with acceleratinf potential V is given by -
λ = h/p Angstorms
That is, 6.6 x 10-34/5.91 x 10-24 metres = 1.116 x 10-10 metres
= 0.112 nm.
Therefore, the de broglie wavelength of each electron is 0.112 nm.