First slide
Relationship between phase and path difference
Question

A particle B executing S.H.M given by equation y=8sin6πt  is sending out waves in a continuous medium travelling at 200 cm/sec. The resultant displacement of the particle 150 cms from B and one second after the commencement of vibration of B is

Difficult
Solution

2πn=6πλ=νntheny=8sin2πt1/3x200/3When,  t=1,x=150cm y=8cm

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