Group Problem Chapter 18Two sinusoidal waves in a string are definedby the wave functions with x and y in cm (so kis 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 betweenthese two waves at the point x1=5.00cm andtj=2.00s? (Pick an angle between 0° and 360°.)b) What is the positive x value closest to theorigin for which the two arguments differ by+(2n+1)n at t1? At that location the two wavesdestructively interfere. (Hint: it's not the n=0case!)

Given Therefore phase of y1 is And phase of y2 is These angles are in radian.

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!)

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!)