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Chapter 16: Q. 29 (page 452)

A circular wave travels outward from the origin. At one instant of time, the phase at r1 = 20 cm is 0 rad and the phase at r2 = 80 cm is 3p rad. What is the wavelength of the wave?

Short Answer

Expert verified

The wavelength of the wave is40cm

Step by step solution

01

Given information

The position of the first point isr1=20cm=0.20m

The phase at the first point is蠒1=0rad

The position of the second point isr2=80cm=0.80m

The phase at the second point is蠒2=3蟺rad

02

The wavelength of the wave

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

Substitute the given values

3蟺-0=2蟺位0.80-0.20位=230.60位=0.40m位=40cm

Therefore, the wavelength of the wave is 40cm.

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