Answer :
The speed of light in a liquid whose have a refractive index of 1.40 is 2.14 x 10⁸ m/s.
The refractive index can be seen as the factor by which the speed of a traveled photon is reduced with respect to its vacuum values. It can be determined as
v = c/n
where v is the speed of light through on refractive media, c is the speed of light at vacuum and n is an index of refraction.
From the question above, we know that :
c = 3 x 10⁸ m/s
n = 1.40
By substituting the parameters to equation, we get
v = c/n
v = 3 x 10⁸ / 1.40
v = 2.14 x 10⁸ m/s
Hence, the speed of light in a liquid whose have a refractive index of 1.40 is 2.14 x 10⁸ m/s.
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