The energy of a photon can be calculated using the formula:
\[ E = h \cdot f \]
where:
- \( E \) is the energy,
- \( h \) is Planck's constant (\( 6.626 \times 10^{-34} , \text{J s} \)),
- \( f \) is the frequency of the wave.
Since energy is directly proportional to frequency, the wave with the lowest frequency will have the lowest energy.
Now, let's examine the frequencies given:
- Wave 1: \( 6.66 \times 10^{14} \) Hz
- Wave 2: \( 5.77 \times 10^{14} \) Hz
- Wave 3: \( 4.61 \times 10^{14} \) Hz
- Wave 4: \( 4.28 \times 10^{14} \) Hz
Among these, Wave 4 has the lowest frequency (\( 4.28 \times 10^{14} \) Hz).
Therefore, the wave that contains the lowest energy is wave 4.
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