In a laboratory demonstration of electron diffraction

PHYSICS · Subjective · A Level · Physics · Particles and radiation · Particles and radiation

Problem

In a laboratory demonstration of electron diffraction, a well-defined intensity maximum is observed at a glancing angle of about 50∘50^{\circ} when the accelerating voltage is 54 V54\,\text{V}. (i) Calculate the de Broglie wavelength of the electrons at 54 V54\,\text{V}. (ii) If the accelerating voltage is increased to 81 V81\,\text{V}, find the new wavelength. (iii) Without performing a full angle calculation, predict whether the principal maximum will shift towards a higher or a lower glancing angle when the voltage is increased from 54 V54\,\text{V} to 81 V81\,\text{V}. Give a clear physical justification for your answer.

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