Light is travelling at a speed of $2.20 \cdot 10^{8}$ $2.20*10^8$ $m$ $m$ / $s$ $s$ through alcohol. What is the index of refraction of alcohol?

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Light is travelling at a speed of $2.20 \cdot 10^{8}$ $2.20*10^8$ $m$ $m$ / $s$ $s$ through alcohol. What is the index of refraction of alcohol?

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Answer 1 · 2016-07-16T02:13:48

$1.36$ $1.36$ , rounded to two decimal places.

Explanation:

Refractive index $n$ $n$ of a material is a dimensionless number. It tells us how light propagates through that material.

$n \equiv \frac{c}{v}$ $n -= c/ v$
where $c$ $c$ is the speed of light in vacuum $= 3 \times 10^{8} m s^{- 1}$ $=3xx10^8ms^-1$ , and $v$ $v$ is the phase velocity of light in the material.

Inserting given values we get refractive index of alcohol as
$n = \frac{3 \times 10^{8}}{2.2 \times 10^{8}}$ $n = (3xx10^8)/ (2.2xx10^8)$
$\Rightarrow n = 1.36$ $=>n = 1.36$ , rounded to two decimal places.

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Light is travelling at a speed of $2.20 \cdot 10^{8}$ $2.20*10^8$ $m$ $m$ / $s$ $s$ through alcohol. What is the index of refraction of alcohol?

1 Answer

Explanation:

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Light is travelling at a speed of $2.20 \cdot 10^{8}$ $2.20*10^8$ $m$ $m$ / $s$ $s$ through alcohol. What is the index of refraction of alcohol?