Question

How Many Photons Are in a 1.00 MJ Burst of This Radiation?

A) 6.022 * 10²3 photons
B) 1.00 * 10⁶ photons
C) 3.00 * 10⁸ photons
D) 2.00 * 10²3 photons

Answer 1

The number of photons in a 1.00 MJ burst of radiation is 3.27 x 10^23 photons.

Step-by-step explanation:

The energy of the burst of radiation is given as 1.00 MJ. To find the number of photons, we need to use the formula:

Number of photons = Energy of radiation / Energy of each photon

Converting the energy of the photon to joules by multiplying it by the conversion factor (1.60 x 10^-19 J/eV), we get:

Number of photons = (1.00 MJ)(1.00 x 10^6 J/1 MJ) / (2.48 eV)(1.60 x 10^-19 J/eV) = 3.27 x 10^23 photons

Therefore, the correct answer is 3.27 x 10^23 photons (option D).