the speed of light is measured to be 1.50*10^8 m/s in a sucrose water solution. calculate the refractive index of the solution.
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index=speedoflightinvacumn/speedlightinmaterial
To calculate the refractive index of the solution, we need to use Snell's law. Snell's law states that the refractive index (n) of a medium is equal to the ratio of the speed of light in a vacuum (c) to the speed of light in the medium (v):
n = c / v
In this case, we are given the speed of light in the sucrose water solution, which is v = 1.50 * 10^8 m/s. The speed of light in a vacuum is a constant, which is approximately equal to c = 3.00 * 10^8 m/s.
Now, we can calculate the refractive index (n):
n = c / v
= (3.00 * 10^8 m/s) / (1.50 * 10^8 m/s)
= 2.00
Therefore, the refractive index of the sucrose water solution is 2.00.