Two sinusoidal waves in a string are defined by the wave functions with x and y in cm (so k is in rad/cm) and t in s. У(х,t) — 2.10 sin (18.0x — 31.0t) y2(x,t) = 2.10 sin (30.0x – 45.0t) - a) What is the phase difference between these two waves at the point x1=5.00cm and ti=2.00s? (Pick an angle between 0° and 360°.) b) What is the positive x value closest to the origin for which the two arguments differ by +(2n+1)r at t1? At that location the two waves destructively interfere. (Hint: it's not the n=0 case!)

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Group Problem Chapter 18
Two sinusoidal waves in a string are defined
by the wave functions with x and y in cm (so k
is in rad/cm) and t in s.
yı(x,t) = 2.10 sin (18.0x – 31.0t)
y2(x,t) = 2.10 sin (30.0x – 45.0t)
a) What is the phase difference between
these two waves at the point x1=5.00cm and
tj=2.00s? (Pick an angle between 0° and 360°.)
b) What is the positive x value closest to the
origin for which the two arguments differ by
+(2n+1)n at t1? At that location the two waves
destructively interfere. (Hint: it's not the n=0
case!)
Transcribed Image Text:Group Problem Chapter 18 Two sinusoidal waves in a string are defined by the wave functions with x and y in cm (so k is in rad/cm) and t in s. yı(x,t) = 2.10 sin (18.0x – 31.0t) y2(x,t) = 2.10 sin (30.0x – 45.0t) a) What is the phase difference between these two waves at the point x1=5.00cm and tj=2.00s? (Pick an angle between 0° and 360°.) b) What is the positive x value closest to the origin for which the two arguments differ by +(2n+1)n at t1? At that location the two waves destructively interfere. (Hint: it's not the n=0 case!)
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