Question

Problem 2: A 21-W horizontal beam of light of wavelength 430 nm, travelling at speed c, passes through a rectangular opening of width 0.0048 m and height 0.011 m. The light then strikes a screen at a distance 0.36 m behind the opening.

a) E = 4.62E-19 Joules

b) N = 4.543E+19 # of photons emitted

c) If the beam of light emitted by the source has a constant circular cross section whose radius is twice the height of the opening the beam is approaching, find the flow density of photons as the number of photons passing through a square meter of cross-sectional area per second.

d) Calculate the number of photons that pass through the rectangular opening per second.

e) The quantity NO that you found in part (d) gives the rate at which photons enter the region between the opening and the screen. Assuming no reflection from the screen, find the number of photons in that region at any time.

f) How would the number of photons in the region between the opening and the screen change, if the photons traveled more slowly? Assume no change in any other quantity, including the speed of light.

Answer 1

a. E = 4.62 × 10⁻¹⁹J

b. n = 4.54 × 10¹⁹photons

c. 2.99 × 10²²photons/m²

d. 1.58 ×10¹⁸photons/seconds

e. n = 1.896 × 10 ⁹ photons

f. the number of photons will be more if it travels slowly

Step-by-step explanation: