Final answer:
The minimum thickness of the coating on the lens is approximately 356.25 nm.
Step-by-step explanation:
To determine the minimum thickness of the coating, we can use the formula for destructive interference:
2t = λ / (2n - 1)
Where t is the thickness of the coating, λ is the wavelength of the light, and n is the index of refraction of the lens.
Given that the wavelength of the strongest light reflected is 570 nm, we can substitute the values into the formula:
2t = 570 nm / (2 * 1.3 - 1)
Simplifying, we get:
2t ≈ 570 nm / 1.6
t ≈ 356.25 nm
Therefore, the minimum thickness of the coating is approximately 356.25 nm.