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Which graph shows the variation of momentum $p$ with wavelength $\lambda$ of a photon? A B C D - AQA - A-Level Physics - Question 13 - 2020 - Paper 1

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Question 13

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Which graph shows the variation of momentum $p$ with wavelength $\lambda$ of a photon? A B C D

Worked Solution & Example Answer:Which graph shows the variation of momentum $p$ with wavelength $\lambda$ of a photon? A B C D - AQA - A-Level Physics - Question 13 - 2020 - Paper 1

Step 1

Identify the relationship between momentum and wavelength

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Answer

The momentum pp of a photon is inversely proportional to its wavelength λ\lambda. This relationship is given by the formula:

p=hλp = \frac{h}{\lambda}

where hh is Planck's constant. From this equation, as the wavelength increases, the momentum decreases.

Step 2

Analyze the graph options

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Answer

Given the inverse relationship, the correct graph should show a curve that decreases as λ\lambda increases. This indicates that for larger wavelengths, the momentum is lower.

Step 3

Select the correct graph

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Answer

Based on the analysis, the correct answer is option C, which shows a decreasing trend as λ\lambda increases, consistent with the relation p=hλp = \frac{h}{\lambda}.

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