FRQ — Dual Nature of Radiation and Matter

Long answer·Hard exam skill (4/5)·Calculator allowed

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

For a metal surface, the following observations are made:

V_0=0.41\,\text{V}

6.0\times10^{14}\,\text{Hz}

V_0=0.83\,\text{V}

7.0\times10^{14}\,\text{Hz}

, and

V_0=1.24\,\text{V}

8.0\times10^{14}\,\text{Hz}

Total: 6 marks

(a) Estimate Planck's constant from the data. (2 marks)

(b) Estimate the threshold frequency. (2 marks)

Your response (optional — you can also work on paper)

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