Answer:
N = 603.32 × 10 ²⁰
Step-by-step explanation:
Given data:
Wavelength of photon = 12.0 μm or 12 × 10 ⁻⁶ m
Energy = 1.0 KJ or 1000 j
Number of photons = ?
Solution:
Formula:
E = n . h . f
E = energy
N = number of photons
h = planck's constant
f = frequency
it is known that
f = c/λ
thus,
E = N . h . c / λ
Now we will put the values in formula.
1000 j = ( N. 6.63 × 10 ⁻³⁴ j.s × 3 × 10⁸ m/s ) / 12 × 10 ⁻⁶ m
N = 1000 j ×12 × 10 ⁻⁶ m / 6.63 × 10 ⁻³⁴ j.s × 3 × 10⁸ m/s
N = 12000 j × 10 ⁻⁶ m / 19.89 × 10 ⁻²⁶ j. m
N = 603.32 × 10 ²⁰