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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: If a strong diffraction peak is observed when electrons are incident at an angle 'i' from the normal to the crystal planes with distance ' dd ' between them (see figure), de Broglie wavelength λdB\lambda_{\mathrm{dB}} of electrons can be calculated by the relationship ( nn is an integer)

Options

  1. Adsin⁡i=nλdBd \sin i=n \lambda_{d B}
  2. B2dcos⁡i=nλdB2 d \cos i=n \lambda_{d B}
  3. C2dsin⁡i=nλdB2 d \sin i=n \lambda_{d B}
  4. Ddcos⁡i=nλdBd \cos i=n \lambda_{d B}

Correct answer

D. dcos⁡i=nλdBd \cos i=n \lambda_{d B}

Step-by-step solution

2dcos⁡i=nλdB2 d \cos i=n \lambda_{d B}
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