Question

The speed of light in water of refractive index 4/3 is 2.25 x 10^8 m/s what is the
speed of light in vacuum?​

Answer 1

$\large{\underline{\underline{\mathfrak{\green{\sf{QUESTION:-}}}}}}$.

• The speed of light in water of reseacticel index 4/3 is 2.25 x 10^8 m/s what is the
• speed of light in vacuum?

$\large{\underline{\underline{\mathfrak{\sf{Given\:Here:-}}}}}$.

• Speed of light in water (Sw)$\:=\:2.25\:×\:10^8$

• Refractive index of water = $\frac{4}{3}$

$\large{\underline{\underline{\mathfrak{\sf{Find\:Here:-}}}}}$.

• Speed of light in vacuum (Sv)

$\large{\underline{\underline{\mathfrak{\green{\sf{Explanation:-}}}}}}$.

We k ow that

$\bold{\boxed{\:Refractive\:Index\:of\:water\:=\frac{(Sv)}{(Sw}}}$

$\implies\:\frac{4}{3}\:=\frac{Sv}{2.25×10^8}$

$\implies\:3 Sv\:=\:4\:×\:2.25\:×\:10^8$

$\implies\:Sv\:=\frac{(4×2.25×10^8)}{3}$

$\implies\:Sv\:=\:4\:×\:0.75\:×\:10^8$

$\implies\:Sv\:=\:3\:×\:10^8$

$\large{\underline{\underline{\mathfrak{\green{\sf{ANSWER:-}}}}}}$.

• $\:Speed\:of\:light\:on\:vacuum\:=\:3\:×\:10^8$m\sec.

Answer 2

$</p><p>\huge{\red{\mathfrak{Answer : }}}</p><p>$

Speed of light in water (Sw)\:=\:2.25\:×\:10^8=2.25×108

Refractive index of water = \frac{4}{3}34

\large{\underline{\underline{\mathfrak{\sf{Find\:Here:-}}}}}FindHere:− .

Speed of light in vacuum (Sv)

\large{\underline{\underline{\mathfrak{\green{\sf{Explanation:-}}}}}}Explanation:− .

We k ow that

\bold{\boxed{\:Refractive\:Index\:of\:water\:=\frac{(Sv)}{(Sw}}}RefractiveIndexofwater=(Sw(Sv)

\implies\:\frac{4}{3}\:=\frac{Sv}{2.25×10^8}⟹34=2.25×108Sv

\implies\:3 Sv\:=\:4\:×\:2.25\:×\:10^8⟹3Sv=4×2.25×108

\implies\:Sv\:=\frac{(4×2.25×10^8)}{3}⟹Sv=3(4×2.25×108)

\implies\:Sv\:=\:4\:×\:0.75\:×\:10^8⟹Sv=4×0.75×108

\implies\:Sv\:=\:3\:×\:10^8⟹Sv=3×108

\large{\underline{\underline{\mathfrak{\green{\sf{ANSWER:-}}}}}}ANSWER:− .

\:Speed\:of\:light\:on\:vacuum\:=\:3\:×\:10^8Speedoflightonvacuum=3×108 m\sec.