Final answer:
The thickness of a thin film of diamond can be calculated using the formula t = (m * λ) / (2 * n), where m is the number of fringes, λ is the wavelength of light used, and n is the refractive index of diamond.
Step-by-step explanation:
The thickness of a thin film of diamond can be determined using the formula:
t = (m * λ) / (2 * n)
where t is the thickness, m is the number of fringes, λ is the wavelength of light used, and n is the refractive index of diamond.
In this case, the number of fringes is given as 14 per centimeter, which can be converted to 140 per meter. The wavelength of the light used is not provided, so we cannot determine the thickness without that information.