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Chapter 5: Q6E (page 1105)

Light of a certain frequency has a wavelength of 526 nm in water. What is the wavelength of this light in benzene?

Short Answer

Expert verified

The wavelength of light in benzene is 467 nm.

Step by step solution

01

Determination of the wavelength of light in benzene.

The expression for wavelength in any medium other than air is,

位=位0n

Here, 位0is the wavelength in air and n is the refractive index.

Now,

nwater=1.333nbenzene=1.501

Thus, solve for water and benzene,

位0=位waternwater位0=位benzenenbenzene

Equating both the equations,

位benzene=位waternwaternbenzene=526nm1.3331.501=467nm

Thus, the wavelength of light in benzene is 467 nm.

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