Final answer:
The energy of a photon with a frequency of 5.7 × 10^7 Hz is calculated using Planck's equation, resulting in an energy of 3.777 × 10^-26 joules.
Step-by-step explanation:
To calculate the energy (E) of a photon you can use the formula E = h×f, where h is Planck's constant (6.626 × 10−34 J·s) and f is the frequency of the photon. Given that the frequency of the photon is 5.7 × 107 Hz, you can substitute this value into the equation.
E = (6.626 × 10−34 J·s)(5.7 × 107 Hz)
Thus, the energy of the photon can be calculated as:
E = 3.777 × 10−26 J