Step 1: The attached graph represents the probability density of a photon being found (detected) along the horizontal x- axis
Step 2: We have: Total number of photons = 1 millions Now, checking the graph, we will find that: At x = 0.5, the probability of finding a photon is 1. To get the probability density at 1 mm wide at the given x value, we will simply multiply the probability with the area under curve as follows: P(x=0.5) * area under curve = 1 * 1 * 10^-3 = 1 * 10^-3 m^2
Step 3: Now, we will get the expected number of photons as follows: N = number of photons * area under curve N = 1 * 10^6 * 1 * 10^-3 N = 1 * 10³ m²
