The frequency of violet light is about twice that of red light. How does the energy of a violet photon compare with the energy of a red photon?
The energy of the violet light is about twice that of red light.
The energy of a photon is directly proportional to its frequency. Since the frequency of violet light is twice that of red light, we can conclude that the energy of a violet photon is also twice that of a red photon. In other words, a violet photon has higher energy than a red photon.
To compare the energy of violet and red photons, we need to consider the relationship between energy and frequency.
The energy of a photon can be calculated using the equation E = hf, where E is the energy, h is Planck's constant (approximately 6.626 × 10^-34 joule-seconds), and f is the frequency of the photon.
Since it is given that the frequency of violet light is about twice that of red light, we can express the frequency of violet light as 2f and the frequency of red light as f.
By substituting these frequencies into the energy equation, we get:
Energy of a violet photon (Ev) = h × (2f)
Energy of a red photon (Er) = h × f
As we can see, the energy of a violet photon is directly proportional to its frequency, while the energy of a red photon is directly proportional to its frequency.
Therefore, the energy of a violet photon is twice that of a red photon.