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Ores and Minerals

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What is the value of Z ( rank ) for Diamond?

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Q. In a particular country, the value of a diamond is directly proportional to the surface area (exposed) of the diamond. Four thieves steal a cubical diamond piece and then divide equally into four parts. What is the maximum percentage increase in the value of diamond after cutting it?

Q. The index of refraction for diamond is

2.42

. For a diamond in the air (index of refraction =

1.00

), what is the smallest angle that a light ray inside the diamond can make with a normal and completely reflect back inside the diamond (the critical angle)?

Q. What is primarily responsible for the hardness of diamond?

Q. The price of a diamond varies as the square of its weight. Three rings of equal weight, each composed of a diamond set in gold, have values pounds

a, b, c

, the diamond in them weighing

3, 4, 5

carats respectively. Show that the value of a diamond of one carat is
pounds

(\frac{a + c}{2} - b)

,
the cost of workmanship being the same for each ring.

Q. Rank the following in order of increasing value of the equilibrium constant for hydration,

K_{h y d .}

(smallest value first).

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