The energy of a wave can be calculated using the formula:
\[ E = h \times f \]
where:
- \( E \) is the energy,
- \( h \) is Planck's constant (\( 6.626 \times 10^{-34} , \text{Js} \)),
- \( f \) is the frequency of the wave.
According to the provided data, the energies of the four waves can be compared using their frequencies. The lower the frequency, the lower the energy.
The frequencies of the waves are as follows:
- 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
From this, we can see that Wave 4 has the lowest frequency (\( 4.28 \times 10^{14} \) Hz) and therefore contains the lowest energy.
So the correct response is:
wave 4