Question

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.

Answer 1

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

Answer 2

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

Step-by-step explanation:

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

`\eta=(c)/(v)`

where,

`\eta` = index of refraction of water = 1.333

c = speed of light in vacuum =
`3* 10^8m/s`

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

Putting values in above equation, we get:

`1.333=(3* 10^8)/(v)\\\\v=2.2505626406* 10^8m/s`

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.

`2.2505626406* 10^8=225056264.06`

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

`\Rightarrow 225056264.1m/s`

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