The energy of a wave can be calculated using the formula:
\[ E = h \cdot f \]
where \( E \) is the energy, \( h \) is Planck's constant (\( 6.626 \times 10^{-34} , \text{Js} \)), and \( f \) is the frequency of the wave. Since the energy is directly proportional to frequency, we can determine which wave has the lowest energy by looking at their frequencies.
From the provided data:
- Wave 1: \( 6.66 \times 10^{14} , \text{Hz} \)
- Wave 2: \( 5.77 \times 10^{14} , \text{Hz} \)
- Wave 3: \( 4.61 \times 10^{14} , \text{Hz} \)
- Wave 4: \( 4.28 \times 10^{14} , \text{Hz} \)
The lowest frequency is for Wave 4:
- Wave 4: \( 4.28 \times 10^{14} , \text{Hz} \)
Since energy is directly proportional to frequency, Wave 4 has the lowest energy.
Therefore, the answer is wave 4.
1 answer