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Introduction to Waves

Two points ar...

Question

Two points are located at a distance of 10 m and 15 m from the source of oscillation. The period of oscillation is 0.05 sec and the velocity of the wave is 300m/s. What is the phase difference between the oscillation of the two points?

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Solution

$v = 300 m / s t i m e t a k e n t o t r a v e l t h e d i s \tan c e 15 m i s = 15 / 300 = 0.05 s t i m e t a k e n t o t r a v e l t h e d i s \tan c e 10 m i s = 10 / 300 = 0.03 s t i m e p e r i o d o f t h e w a v e i s 0.05 s . a n g l e t r a c e d i n 0.05 s i s 2 π . a n g l e t r a c e d i n 0.03 s i s \frac{2 π}{0.05} 0.03 = \frac{6 π}{5} p h a s e d i f f e r e n c e i s 2 π - \frac{6 π}{5} = \frac{4 π}{5}$

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