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Which graph shows the relationship between frequency $f$ and wavelength $\lambda$ of photons of electromagnetic radiation? A B C D E - Scottish Highers Physics - Question 17 - 2023

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Question 17

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Which graph shows the relationship between frequency $f$ and wavelength $\lambda$ of photons of electromagnetic radiation? A B C D E

Worked Solution & Example Answer:Which graph shows the relationship between frequency $f$ and wavelength $\lambda$ of photons of electromagnetic radiation? A B C D E - Scottish Highers Physics - Question 17 - 2023

Step 1

Identify the relationship between frequency and wavelength

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Answer

The relationship between frequency ff and wavelength λ\lambda of electromagnetic radiation is expressed by the equation:

c=f⋅λc = f \cdot \lambda

where cc is the speed of light, approximately 3.00×1083.00 \times 10^8 m/s. This formula implies that as the wavelength λ\lambda increases, the frequency ff decreases, and vice versa.

Step 2

Analyze the provided graphs

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Answer

To determine which graph correctly represents this relationship, we can infer that:

  • A decreasing wavelength (moving to the left on the horizontal axis) should correspond to an increasing frequency (moving upwards on the vertical axis).
  • Thus, the correct graph should show a decreasing trend as the wavelength increases.

Step 3

Select the correct option

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Answer

Based on this analysis, Graph A depicts a decreasing curve as λ\lambda increases. Therefore, the correct answer is: Graph A.

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