wave_mechanics critical_thinking Question 45
Question: Three waves of equal frequency having amplitudes 10 mm, 4 mm and 7 mm arrive at a given point with successive phase difference of $ \frac{\pi }{2} $ . The amplitude of the resulting wave in mm is given by
[AIIMS 1995]
Options:
A) 7
B) 6
C) 5
D) 4
Show Answer
Answer:
Correct Answer: C
Solution:
The wave 1 and 3 reach out of phase.
Hence resultant phase difference between them is$ \pi $ .
$ \therefore $ Resultant amplitude of 1 and 3 = $ 10-7 $ = 3 $ \mu m $ This wave has phase difference of $ \frac{\pi }{2} $ with 4 $ \mu m $
$ \therefore $ Resultant amplitude = $ \sqrt{3^{2}+4^{2}}=5\mu m $
BETA
