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Chapter 7: Q. 114 (page 468)

Bending Light The speed of yellow sodium light (wavelength, 589nano-meters) in a certain liquid is measured to be 1.92×108meters per second. What is the index of refraction of this liquid, with respect to air, for sodium light?

[Hint: The speed of light in air is approximately 2.998×108meters per second.]

Short Answer

Expert verified

The index of refraction of this liquid, with respect to air, for sodium light is1.56.

Step by step solution

01

Step 1. Given Information

The speed of yellow sodium light (wavelength,589nano-meters) in a certain liquid is measured to be 1.92×108meters per second.

We have to find the index of refraction of this liquid, with respect to air, for sodium light.

[Hint: The speed of light in air is approximately localid="1647102948259" 2.998×108meters per second.]

02

Step 2. The index of refraction is given as n=cv where c is speed of light in vaccum and v is speed of light in medium.

c=2.998×108andv=1.92×108

Putting the value

n=2.998×1081.92×108n≈1.56

The index of refraction of this liquid, with respect to air, for sodium light is 1.56.

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