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Waves from two different sources overlap near a particular point.The amplitude and the frequency of the two waves are same.The ratio of the intensities when the two waves arrive in phase to that when they arrive 90° out of phase is

a.1:1

b.√2:1

c.2:1

d.4:1

Menka Malguri , 14 Years ago
Grade 12th Pass
anser 1 Answers
Chetan Mandayam Nayakar

Last Activity: 14 Years ago

let the waves be y1=acos(kx+wt) and y2=acos(kx+wt+phi)

resultant is y1 +y2=2acos(φ/2)cos(kx+wt+(φ/2))

Intensity proportional to cos(phi/2)2

In phase: (phi/2)2 =1, 90 degree out of phase: (phi/2)2=1/2

Answer: (c)

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