First slide

Standing waves

Question

Consider the standing wave, $y = A \sin (\frac{π x}{30}) \sin (2 π t)$ where x is in cm and t is in second. Phase difference (in radians) between two particles at x=25 cm and 35 cm is

Moderate

A

0
B

$π$
C

$\frac{π}{2}$
D

$\frac{π}{3}$

Solution

$w a v e s t a r t s w i t h a n o d e a n d w a v e l e n g t h i s \frac{2 π}{λ} = \frac{π}{30} λ = 60 c m n o d e f o r m a t \frac{λ}{2} = 30 c m 25 a n d 35 c m a r e t w o p o i n t s o n e i t h e r s i d e o f t h e n o d e s s o p h a s e d i f f e r n c e i s π$

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