Final answer:
The power of the flash can be calculated by determining the energy of each photon and then calculating the total energy of the flash. The power of the flash is 2.38 × 10^-9 W.
Step-by-step explanation:
The power of the flash can be calculated by first determining the energy of each photon in the flash, and then calculating the total energy of the flash. The energy of each photon can be determined using the formula E = nhc/λ, where E is the energy, n is the number of photons, h is Planck's constant, c is the speed of light, and λ is the wavelength. Using this formula, the energy per photon is found to be 4.08 × 10^-19 J.
The total energy of the flash is then calculated by multiplying the energy per photon by the total number of photons in the flash, which is given as 1.4 × 10^10 photons. Multiplying these values gives a total energy of 5.71 × 10^-9 J.
Finally, the power of the flash is calculated by dividing the total energy by the duration of the flash, which is given as 2.4 s. Dividing these values gives a power of 2.38 × 10^-9 W.