Which wave contains the lowest energy?
Wave # Frequency Wavelength
Wave 1 6.66 × 1014 Hz 450 nm
Wave 2 5.77 × 1014 Hz 520 nm
Wave 3 4.61 × 1014 Hz 650 nm
Wave 4 4.28 × 1014 Hz 700 nm
Wave 4 has the lowest energy.
To determine which wave has the lowest energy, we can use the formula E = h * f, where E is the energy, h is Planck's constant, and f is the frequency of the wave.
Comparing the frequencies of the waves:
Wave 1: 6.66 × 10^14 Hz
Wave 2: 5.77 × 10^14 Hz
Wave 3: 4.61 × 10^14 Hz
Wave 4: 4.28 × 10^14 Hz
According to the formula, the wave with the lowest frequency will have the lowest energy.
Thus, Wave 4 with a frequency of 4.28 × 10^14 Hz has the lowest energy among the given waves.
To determine which wave contains the lowest energy, we need to use the equation:
E = h * f
where E is the energy of the wave, h is Planck's constant (6.63 x 10^-34 J·s), and f is the frequency of the wave.
We can calculate the energy for each wave using the given frequencies:
Energy of Wave 1 = (6.63 x 10^-34 J·s) * (6.66 x 10^14 Hz)
Energy of Wave 2 = (6.63 x 10^-34 J·s) * (5.77 x 10^14 Hz)
Energy of Wave 3 = (6.63 x 10^-34 J·s) * (4.61 x 10^14 Hz)
Energy of Wave 4 = (6.63 x 10^-34 J·s) * (4.28 x 10^14 Hz)
Now, let's calculate the energies:
Energy of Wave 1 = 4.40 x 10^-19 J
Energy of Wave 2 = 3.82 x 10^-19 J
Energy of Wave 3 = 3.05 x 10^-19 J
Energy of Wave 4 = 2.83 x 10^-19 J
By comparing the calculated energies, we can see that Wave 4 has the lowest energy with 2.83 x 10^-19 J.