Light travels at 3.0 × 108 m/s in a vacuum. Use the index of refraction for water to determine the speed of light in water. Round your answer to the nearest tenth.

Respuesta :

the answer is 2.3. I just answered this question and got it right.

Answer: The velocity of light in water is 225056264.1 m/s.

Explanation:

To calculate the speed of light in medium (water), we use the formula:

[tex]\eta=\frac{c}{v}[/tex]

where,

[tex]\eta[/tex] = index of refraction of water = 1.333

c = speed of light in vacuum = [tex]3\times 10^8m/s[/tex]

v = speed of light in water = ?m/s

Putting values in above equation, we get:

[tex]1.333=\frac{3\times 10^8}{v}\\\\v=2.2505626406\times 10^8m/s[/tex]

To round the speed of light in water to the nearest tenth place, we will multiply the exponent with the answer and then round off the tenth place.

[tex]2.2505626406\times 10^8=225056264.06[/tex]

Rounding 0.06 to 1 because 6 is more than 5, we get:

[tex]\Rightarrow 225056264.1m/s[/tex]

Hence, the velocity of light in water is 225056264.1 m/s.