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Anni [7]
3 years ago
12

Light having a speed in vacuum of3.0�108m/s enters a liquid of refractive index 2.0. In this liquid, its speed will be A)0.75�10

8m/sB)6.0�108m/sC)1.5�108m/sD)3.0�108m/sE)None of the above choices are correct.
Physics
1 answer:
Murrr4er [49]3 years ago
3 0

Right answer: 1.5({10}^{8})m/s

The Absolute Refractive index n is the quotient of the speed of light in vacuum c and the speed of light in the medium whose index is calculated v, as shown in the expression below:

n=\frac{c}{v}     (1)

This is a dimensionless value.

If we know that:

c=3({10}^{8})m/s

n_{1}=1 is the refractive index in vacuum

n_{2}=2 is the refractive index in the liquid

We can use equation (1), with the values of n_{2} and c to calculate v_{liquid}, which is the velocity of light in this medium:

n_{2}=\frac{c}{v_{liquid}}     (2)

v_{liquid}=\frac{c}{n_{2}}     (3)

v_{liquid}=\frac{3({10}^{8})m/s}{2}    (4)

Finally:

v_{liquid}=1.5({10}^{8})m/s>>>>This is the speed of light in the liquid.

Therefore the correct option is c.  

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