The velocity of light in water is $\frac{3}{4}$ times the velocity of light in vacuum. Find the refractive index of water.
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Suppose velocity of light in vacuum $=\text{v}$
Then velocity of light in water $=\frac{3}{4}\text{v}$
Now we have a relation,
Refractive index of a medium (water) $=\frac{\text{Speed of light in vacuum}}{\text{Speed of light in medium (water)}}$
So, $\frac{\frac{\text{v}}{3}}{4\text{v}}=1.33$
Then velocity of light in water $=\frac{3}{4}\text{v}$
Now we have a relation,
Refractive index of a medium (water) $=\frac{\text{Speed of light in vacuum}}{\text{Speed of light in medium (water)}}$
So, $\frac{\frac{\text{v}}{3}}{4\text{v}}=1.33$
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