A student measures the index of refraction of a gooey, transparent liquid to be 1.41. How fast does light travel in this liquid?

1.41=speedlight/speedinliquid

speelightingooeyLiquikd= speedlghtinSpace/1.41

The speed of light in any medium can be calculated using the formula:

Speed of light in a medium = Speed of light in a vacuum / Index of refraction of the medium.

In this case, the index of refraction of the liquid is given as 1.41. The speed of light in a vacuum is a fundamental constant and is approximately 299,792,458 meters per second.

Using the formula, we can calculate the speed of light in the gooey liquid:

Speed of light in the liquid = 299,792,458 m/s / 1.41

Calculating this, we find that the speed of light in the liquid is approximately 212,837,084 meters per second.

Therefore, light travels in the gooey transparent liquid at a speed of approximately 212,837,084 meters per second.