Assignment #9 Problem 20.15 « previous 3 of 20 next » Problem 20.15 Part A A sph

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Assignment #9

Problem 20.15

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Problem 20.15

Part A

A spherical wave with a wavelength of 2.0 m is emitted from the origin. At one instant of time, the phase at r = 4.0 m is rad. At that instant, what is the phase at r = 3.75 m ?

Express your answer to two significant figures and include the appropriate units.

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Part B

What is the phase at r = 4.5 m at the same instant?

Express your answer to two significant figures and include the appropriate units.

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Explanation / Answer

a)phase difference = phi2 - phi1 = [2 pi / lambda] (r2 - r1)

phi2 = [2 pi / lambda] (r2 - r1) + phi1

phi2 = [2 pi / 2](3.75 - 4.00) + pi

phi2 = 3/4 * pi rad = 2.36 rad

b) for r= 4.5 m

phi2 = [2 pi / 2](4.5 - 4.00) + pi

phi2 = 3/2 * pi rad = 4.71 rad

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