The French physicist Armand Fizeau was the first to measure the speed of light accurately. He also found experimentally that the speed, relative to the lab frame, of light traveling in a tank of water that is itself moving at a speed V relative to the lab frame is v = c/n + kV where n = 1.333 is the index of refraction of water. Fizeau called k the dragging coefficient and obtained an experimental value of k = 0.44. What value of k do you calculate from relativistic transformations?

The French physicist Armand Fizeau was the first to measure the speed of light accurately. He also found experimentally that the speed, relative to the lab frame, of light traveling in a tank of water that is itself moving at a speed V relative to the lab frame is v = c/n + kV where n = 1.333 is the index of refraction of water. Fizeau called k the dragging coefficient and obtained an experimental value of k = 0.44. What value of k do you calculate from relativistic transformations?