= 5.0 cm and A2 Two waves with identical frequency but different amplitude A1 occupy the same region of space (i.e. superimposed). = 3.0 cm (a) What is the amplitude of the resulting wave when they interfere constructively? (b) What is the amplitude of the resulting wave when they interfere destructively? (c) By what factor is the intensity of the larger intensity for constructive interference than the intensity of destructive interference?

Two sources as in phase and emit waves with =0.42 m. Determine whether constructive or destructive interference occurs at points whose distances from the two sources are (a) 0.84 and 0.42 m, (b) 0.21 and 0.42 m, (c) 1.26 and 0.42 m, (d) 1.87 and 1.45 m, (e) 0.63 and 0.84 m and (f) 1.47 and 1.26 m.

During a 4th of July celebration, an M80 firework explodes on the ground, producing a bright flash and a loud bang. The air temperature of the night air is TF=90.00F . Two observers see the flash and hear the bang. The first observer notes the time between the flash and the bang as 1.00 second. The second observer notes the difference as 3.00 seconds. The line of sight between the two observers meet at a right angle as shown below. What is the distance x between the two observers?

Consider two waves y1(x,t) and y2(x,t) that are identical except for a phase shift propagating in the same medium. (a)What is the phase shift, in radians, if the amplitude of the resulting wave is 1.75 times the amplitude of the individual waves? (b) What is the phase shift in degrees? (c) What is the phase shift as a percentage of the individual wavelength?

(a) What is the speed of sound in a medium where a 100-kHz frequency produces a 5.96-cm wavelength? (b) Which substance in Table 17.1 is this likely to be?

A sound wave is modeled with the wave function P=1.20Pasin(kx6.28104s1t) and the sound wave travels in air at a speed of v=343.00 m/s. (a) What is the wave number of the sound wave? (b) What is the value for P(3.00 m, 20.00 s)?

Consider two wave functions y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kx+t+) . What is the wave function resulting from the interference of the two wave? (Hint: sin()=sincoscossin and =2+2 .)

Consider two periodic wave functions, y1(x,t)=Asin(kxt) and y2(x,t)=Asin(kxt+) . (a) For what values of will the wave that results from a superposition of the wave functions have an amplitude of 2A? (b) For what values of will the wave that results from a superposition of the wave functions have an amplitude of zero?

Consider two waves defined by the wave functions y1(x,t)=0.50msin(23.00mx+24.00st) and y2(x,t)=0.50msin(26.00mx24.00st) . What are the similarities and differences between the two waves?

Two progressive waves yi = A sin( 4x – ot) and y2 = A sin("x – ot – 5) travel in the same direction. Calculate the amplitude Atot of the wave y = yi + y2 produced as a result of interference of these two waves. Take A = 8.6 cm, 1 = 4 m and w = 10r Hz. Give your answer in centimetres (cm).