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Question:

WHy is quartzite harderand more resistant than it's parent rock (which is quartz and sandstone)???

WHy is quartzite harderand more resistant than it's parent rock (which is quartz and sandstone)???

Answer:

Let qi = angle of incidence and qr = angle of refraction. Then Snell's Law is ni sin(qi) = nr sin(qr) If the light is coming from the air into the quartz then ni = 1 sin(qi) = nr sin(qr) ---> nr = sin(qi)/sin(qr) Plug and chug.
Snell's Law: n1 * sin(θ1) = n2 * sin(θ2) or sin (θ1) / sin (θ2) = n2 / n1 Since you do not specify, I need to make an assumption... Assume that the original medium is AIR. The quartz block could be underwater. In that case n1 would be n(water)=1.33. Calculating to 3 significant digits, n(air) = 1.00 n(quartz) = x sin (30.1°) / sin (20.3°) = x/1.00

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