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Chapter 16: Q. 30 (page 452)

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 p rad. At that instant, what is the phase at r = 3.5 m and at r = 4.5 m?

Short Answer

Expert verified

The phase at r=3.5mis 12蟺rad.

The phase atr=4.5mis32蟺rad.

Step by step solution

01

Given information

The wavelength of the wave is 位=2.0m

The phase atr=4.0mis蠒1=蟺rad

02

The phase at r=3.5 m.

The phase difference is given by 蠒2-蠒1=2蟺位r2-r1.

Substitute the given values

蠒2-蟺=2蟺23.5-4.0蠒2=-0.5蟺+蟺蠒2=12蟺rad

Therefore, phase difference atr=3.5mis12蟺rad.

03

The phase at r=4.5 m

Substitute the given values into 蠒2-蠒1=2蟺位r2-r1.

蠒2-蟺=2蟺24.5-4.0蠒2=0.5蟺+蟺蠒2=32蟺rad

Therefore, the phase atr=4.5mis32蟺rad.

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