A laser beam shines along the surface of a block of transparent material (see $\textbf{Fig. E33.8}$). Half of the beam goes straight to a detector, while the other half travels through the block and then hits the detector. The time delay between the arrival of the two light beams at the detector is 6.25 ns. What is the index of refraction of this material?

## Discussion

## Video Transcript

this problem. We are asked to find the speed off light in the medium, so speed off light in the medium. So we argue on the refractive index which is equal to 1.1 point 47 so we can write speed off light in the medium, Simply speed off light in a vacuum or refractive index. End should point those values here and the speed of light in that medium we get for this problem is there are 2.4 times 10 to the power 10 to the power A to meet in a bar, second meter per second. Then we were asked to find what is the prevalent off this light in that medium? Then the wavelength off we can right here in medium is the violent off light in a vacuum or than fact index. And so the battle and we are given here is ah 6 56 50 or the or the refractive index, which is 1.47 And here we get this, uh, revel in is 442 nanometers. Nano meters end off the problem. Thank you for watching

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