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Question:

What gemstone looks like smoky quartz with golden strands inside?

those golden strands look like multiple pieces of gold strings

Answer:

What is the refractive index of the quartz? The refractive index or index of refraction of a substance is a measure of the speed of light in that substance. It is expressed as a ratio of the speed of light in vacuum relative to that in the considered medium. The velocity at which light travels in vacuum is a physical constant, and the fastest speed at which energy or information can be transferred. However, light travels slower through any given material, or medium, that is not vacuum. A simple, mathematical description of refractive index is as follows: n = velocity of light in a vacuum / velocity of light in medium Hence, the refractive index of water is 1.33, meaning that light travels 1.33 times as fast in a vacuum as it does in water.
the speed of light is a constant. even in a vacuum. it is 3 x 10^8. however if it is the frequency required, the formula is f = speed of light/wavelength if thats what you meant.
Me Me. You need to understand the physics. The speed of light is fixed for a given medium. So, for your fused quartz, c = Cn, where C is the speed in a vacuum and n is the refraction index, which you need to look up. c = ? is the answer you are looking for. Note this has nothing... nothing... to do with L, the wavelength of the light. L = CT, where C is light speed and T is the period of the light wave. As f = 1/T is the frequency of any wave, we have Lf = C. So as you can see, whenever the wavelength is changed, the frequency must also change to keep the light speed at C, no matter what. We can write L = CT = (c/n)T; so that c = nL/T, but you still need n the refraction index and this is just a variation of c = nC anyway. The wavelength is really not germane.

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