1.

What is the a. momentum, b. speed, and c. de Broglie wavelength of an electron with kinetic energyof 120 eV.

Answer»

Solution :KINETIC energy, `K.E = 120 eV = 120 XX 1.6 xx 10^(-19)`
`K = K.E = 1.92 xx 10^(-17)J`
(a) Momentum of an electron, `P = sqrt(2 mK)`
`P = sqrt(2 xx 9.1 xx 10^(-31) xx 1.92 xx 10^(-17))`
`P = 5.91 xx 10^(-24) "kg ms"^(-1)`
(B) Speed of an electron,
`v = (P)/(m) = (5.91 xx 10^(-24))/(9.1 xx 10^(-31)) = 6.5 xx 10^(6) ms^(-1)`
(c) de-Broglie wavelength,
`lambda = (H)/(P) = (6.6 xx 10^(-34))/(5.91 xx 10^(-24)) = 1.117 xx 10^(-10) = 0.112 xx 10^(-9)m`
`lambda = 0.112 m`


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