Gce Model Questions Vol1 2020 Physics Question 24

Practice objective / multiple choice question 24 from the 2020 Gce Model Questions Vol1 Physics examination.

Gce Model Questions Vol1 2020 Physics Objective / Multiple Choice Hard Difficulty
Question 24 GCE_MODEL_QUESTIONS_VOL1 • 2020 • PHYSICS • objective

Electrons are accelerated through a potential difference of \(V = 200\ \text{V}\) and then directed onto a thin polycrystalline metal foil. A circular diffraction pattern is observed on a screen placed a distance \(L = 0.50\ \text{m}\) from the foil. The radius of the first‑order diffraction ring is measured to be \(R = 0.040\ \text{m}\). Assuming the diffraction satisfies Bragg's law for the first order \((n=1)\) and that the scattering angle is small so that \(\sin\theta \approx \tan\theta = R/L\), determine the lattice spacing \(d\) of the metal. Use \(h = 6.626\times10^{-34}\ \text{J s}\), \(m_{e}=9.109\times10^{-31}\ \text{kg}\), and \(e = 1.602\times10^{-19}\ \text{C}\).

Answer Options

A. 5.4\times10^{-9}\ \text{m} \;(\approx 5.4\ \text{nm})
B. 4.8\times10^{-10}\ \text{m} \;(\approx 0.48\ \text{nm})
Correct Answer C. 5.4\times10^{-10}\ \text{m} \;(\approx 0.54\ \text{nm})
D. 6.2\times10^{-10}\ \text{m} \;(\approx 0.62\ \text{nm})
Correct Answer
C
Correct Option:
5.4\times10^{-10}\ \text{m} \;(\approx 0.54\ \text{nm})

About This Question

This is Gce Model Questions Vol1 2020 Physics Question 24. It is one of the objective questions from the 2020 Gce Model Questions Vol1 Physics examination.

Difficulty level: Hard .

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