A pulse of light takes 3.00 ns to travel through air from an emitter to a detector. When a piece of transparent material with a length of 35.0 cm is introduced into the light's path, the pulse takes 3.40 ns to travel that same distance. The piece of transparent material is held so that the pulse never changes direction. What is the speed of light in the transparent material? (in ns please)

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1) A pulse of light takes 3.00 ns to travel through air from an emitter to a detector. When a piece of transparent material with a length of 35.0 cm is introduced into the light's path, the pulse takes 3.40 ns to travel that same distance. The piece of transparent material is held so that the pulse never changes direction. What is the speed of light in the transparent material? (in ns please)

2) A small red LED  is placed on the principal axis 6.00 cm from a concave mirror that has a radius of curvature of 14.0 cm. The LED can be considered to be a point source. Find the image distance for the image of the LED that is created by the mirror. (in cm please. Image attached below)

I appreciate the help. I've attempeted the first question multiple times and always end up with the wrong answer so I don't know what equation to use. 

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