What is the mass in grams of the hope diamond, the world's largest blue diamond at 44.4 carats?

1 carat diamond weighs 0.2 grams. Hope Diamond weighs 44.4 carats. So, the weight of the Hope Diamond in grams can be obtained by multiplying 44.4 by 0.2. So, we have 44.4 * 0.2 = 8.88 grams. Therefore, Hope Diamond, he world's largest blue diamond weighs 8.88 grams.

The frequency of the ray with a wavelength of 3.10 × 10¹⁴  is 9.671 × 10⁻⁷.

I attached the working and the answer to the question below. I hope I was able to help.

Please note that C = speed of light, ν = frequency and λ= wavelength.