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JEE Main 2008
Exam
JEE Main
Year
2008
Subject
Physics
Chapter
Dual Nature of Matter

JEE Main 2008 · Physics · Dual Nature of Matter

Paragraph: Wave property of electrons implies that they will show...

Paragraph: Wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by diffracting electrons from crystals. The law governing the diffraction from a crystal is obtained by requiring that electron waves reflected from the planes of atoms in a crystal interfere constructively (see in figure).Paragraph: Wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated
Question: Electrons accelerated by potential VV are diffracted from a crystal. If d=1A˚andi=30∘,Vd=1 Å and i=30^{\circ}, V should be about (h=6.6×10−34Js,me=9.1×10−31 kg,e=1.6×10−19C)\left(\mathrm{h}=6.6 \times 10^{-34} \mathrm{Js}, \mathrm{m}_{\mathrm{e}}=9.1 \times 10^{-31} \mathrm{~kg}, \mathrm{e}=1.6 \times 10^{-19} \mathrm{C}\right)

Options

  1. A2000 V2000 \mathrm{~V}
  2. B50 V50 \mathrm{~V}
  3. C500 V500 \mathrm{~V}
  4. D1000 V1000 \mathrm{~V}

Correct answer

B. 50 V50 \mathrm{~V}

Step-by-step solution

2dcos⁡i=nλ2dcos⁡i=h2meVv=50 volt \begin{aligned}& 2 d \cos i=n \lambda \\ & 2 d \cos i=\frac{h}{\sqrt{2 m e V}}\\ & v=50 \text{ volt } \end{aligned}Paragraph: Wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated
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