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A photon of electromagnetic radiation has a frequency of 2,4 GHz - NSC Technical Sciences - Question 7 - 2023 - Paper 1

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A photon of electromagnetic radiation has a frequency of 2,4 GHz. 7.1 For this photon calculate the: 7.1.1 Energy 7.1.2 Wavelength 7.2 Use the table above to ide... show full transcript

Worked Solution & Example Answer:A photon of electromagnetic radiation has a frequency of 2,4 GHz - NSC Technical Sciences - Question 7 - 2023 - Paper 1

Step 1

7.1.1 Energy

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Answer

To calculate the energy of the photon, we can use the formula:

E=hfE = hf

Where:

  • EE is the energy in joules (J)
  • hh is Planck's constant (6.63×1034Js6.63 \times 10^{-34} \, \text{Js})
  • ff is the frequency in hertz (Hz)

Substituting the given frequency:

  • f=2.4×109Hzf = 2.4 \times 10^9 \, \text{Hz}
  • Therefore: E=(6.63×1034)×(2.4×109)=1.59×1024JE = (6.63 \times 10^{-34}) \times (2.4 \times 10^9) = 1.59 \times 10^{-24} \, \text{J}

Step 2

7.1.2 Wavelength

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Answer

The wavelength can be calculated using the formula:

λ=cf\lambda = \frac{c}{f}

Where:

  • λ\lambda is the wavelength in meters (m)
  • cc is the speed of light (3×108m/s3 \times 10^8 \, \text{m/s})
  • ff is the frequency in hertz (Hz)

Now substituting the values into the equation: λ=3×1082.4×109=0.125m\lambda = \frac{3 \times 10^{8}}{2.4 \times 10^{9}} = 0.125 \, \text{m}

Step 3

7.2 Use the table above to identify the type of radiation to which this photon belongs.

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Answer

From the provided data, a wavelength of 0.125 m falls within the range of microwaves.

Step 4

7.3 Give ONE use of the radiation in QUESTION 7.2.

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Answer

One common use of microwaves is in microwave ovens for cooking food.

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