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Cht 21 Begin Date: 10/20/2017 12:00:00 AM -- Due Date: 10/25/2017 6:00:00 PM End

ID: 1784786 • Letter: C

Question

Cht 21 Begin Date: 10/20/2017 12:00:00 AM -- Due Date: 10/25/2017 6:00:00 PM End Date: 10/30/2017 11:00:00 AM (18 %) Problem 5: Two stones are dropped simultaneously into a pond 1.3 m apart and 20.2 m away from the straight edge of the pond. They produce waves of wavelength 0.23 m. The two waves meet and interfere along the pond's edge. At the symmetric middle point Po the interference is constructive. The next three constructive interference sites are denoted Pi, P2, and P3. Refer to figure. This is not a small-angle situation, although you may still assume that the stones are dropped close together relative to the distancc of the edgc of the pond. Ps P2 - 33% Part (a) What is the distance, in meters, between P, and Po? - 33% Part (b) What is the distance, in meters, between P2 and PO? 33% Part (c) what is the distance, in meters, between P3 and Po? Grade Summary Deductions 0% Potential 100%

Explanation / Answer

distance between P1 and Po is y1

using

y = m*lamda*R/d

m = 1

y = y1

then

y1 = 1*0.23*20.2/1.3 = 3.58 m


b) distance between P1 and Po is y2

y2 = m*lamda*R/d = (2*0.23*20.2)/1.3 = 7.15 m


c) distance between P3 and Po is y3

y3= m*lamda*R/d = (3*0.23*20.2)/1.3 = 10.72 m

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