Case study·Standard multi-step (3/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

An electron beam used for matter-wave diffraction is accelerated through 54V54\,\text{V} and then through 216V216\,\text{V} in a second trial.
Total: 4 marks

(a) How does the electron momentum change from the first trial to the second? (1 mark)

(b) How does the de Broglie wavelength change? (1 mark)

(c) Explain the trend using the graph. (2 marks)

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