Answer:
E = 6.45 x 10⁻¹¹ J
Step-by-step explanation:
First we need to find total number of photons detected in 1 hour. Therefore,
No. of Photons = n = (3.2 x 10⁸ photons/s)(1 h)(3600 s/1 h)
n = 11.52 x 10¹¹ photons
Now, the energy of these photons can be given by the formula:
E = nhc/λ
where,
E = Total Energy of the Photons = ?
h = Plank's Constant = 6.626 x 10⁻³⁴ J.s
c = speed of light = 3 x 10⁸ m/s
λ = wavelength of radiation = 3.55 mm = 3.55 x 10⁻³ m
Therefore,
E = (11.52 x 10¹¹)(6.626 x 10⁻³⁴ J.s)(3 x 10⁸ m/s)/(3.55 x 10⁻³ m)
E = 6.45 x 10⁻¹¹ J