एक इलेक्ट्रॉन जिसकी गतिज ऊर्जा $120 eV$ है ?
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एक इलेक्ट्रॉन जिसकी गतिज ऊर्जा $120 eV$ है उसका (a) संवेग, (b) दे ब्रॉग्ली तरंगदैर्ध्य क्या है ?

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Ans : Electron का द्रव्यमान $(m)=9.1 \times 10^{-31} kg$

गतिज ऊर्जा $(E)=120 eV \cdot=120 \times 1.6 \times 10^{-19} J$

प्लांक नियतांक $(h)=6.62 \times 10^{-34} Js$

(a) $E=\frac{1}{2} m v^{2}=\frac{P^{2}}{2 m}$

$\therefore$ संवेग $(P)=\sqrt{2 m E}=\sqrt{2 \times 9.1 \times 10^{-31} \times 120 \times 1.6 \times 10^{-19}}$

$$=\sqrt{3494.4 \times 10^{-50}}=59.11 \times 10^{-25} kg m / s$$

(b) De broglie wavelength $(\lambda)=\frac{h}{P}$

$$=\frac{6.62 \times 10^{-34}}{59.11 \times 10^{-25}}=\frac{662 \times 10^{-9}}{5911}=1.119 \times 10^{-10} m \text {. }$$

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