A beam of light traveling in fused quartz (n = 1.46) encounters a boundary with an unknown material. The critical angle for total internal reflection is 44.0∘ . What is the index of refraction of the unknown material?

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The answer is 4f======since electrostatic force is given by    we let f be the electrostatic force when  r = 1 m    if we let  denote the electrostatic force when the distance is decreased so that r = 0.5m, then    we established earlier that f = kq₁q₂. therefore    the force will now be 4f.