Use the information about four different waves to answer the question.
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
Which wave contains the lowest energy?
(1 point)
Responses
wave 4
wave 4
wave 2
wave 2
wave 1
wave 1
wave 3
The wave that contains the lowest energy is wave 4.
The wave with the lowest energy is Wave 4.
To determine which wave contains the lowest energy, we need to understand the relationship between energy, frequency, and wavelength in electromagnetic waves.
The energy of an electromagnetic wave is directly proportional to its frequency and inversely proportional to its wavelength. The formula that describes this relationship is:
E = hf
where E is the energy of the wave, h is Planck's constant (a constant value), and f is the frequency of the wave.
In this case, we are given the frequency and wavelength of four different waves. To compare their energies, we can use the given frequencies and the formula above:
For Wave 1: E₁ = (6.66 × 10¹⁴ Hz) × h
For Wave 2: E₂ = (5.77 × 10¹⁴ Hz) × h
For Wave 3: E₃ = (4.61 × 10¹⁴ Hz) × h
For Wave 4: E₄ = (4.28 × 10¹⁴ Hz) × h
Since Planck's constant is a constant value, we can compare the energies of the waves directly using their frequencies. The wave with the lowest frequency will have the lowest energy.
Comparing the frequencies, we can see that Wave 4 has the lowest frequency of 4.28 × 10¹⁴ Hz. Therefore, Wave 4 contains the lowest energy.