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 1
wave 1
wave 2
wave 2
wave 4
wave 4
wave 3
The wave that contains the lowest energy is wave 3.
To determine which wave contains the lowest energy, we need to understand that energy is inversely proportional to wavelength. The longer the wavelength, the lower the energy.
From the given information, we have:
Wave 1: Frequency = 6.66 × 1014 Hz, Wavelength = 450 nm
Wave 2: Frequency = 5.77 × 1014 Hz, Wavelength = 520 nm
Wave 3: Frequency = 4.61 × 1014 Hz, Wavelength = 650 nm
Wave 4: Frequency = 4.28 × 1014 Hz, Wavelength = 700 nm
Comparing the wavelengths of these waves, we can see that Wave 2 has the longest wavelength (520 nm) and therefore the lowest energy.
So, the wave that contains the lowest energy is Wave 2.
To determine which wave contains the lowest energy, we need to understand the relationship between frequency and energy in waves. According to the wave-particle duality theory, the energy of a wave is directly proportional to its frequency (E ∝ f), where E represents energy and f represents frequency.
Looking at the given information, we can see that the frequencies of the waves are:
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
Comparing the frequencies, we can see that Wave 1 has the highest frequency, followed by Wave 2, Wave 3, and finally Wave 4. Since energy is directly proportional to frequency, this means that Wave 4, with the lowest frequency, also has the lowest energy.
Therefore, the wave that contains the lowest energy is Wave 4.