wave_mechanics interference_and_superposition_of_waves Question 24
Question: Two waves are represented by $ y _{1}=a\sin ( \omega t+\frac{\pi }{6} ) $ and $ y _{2}=a\cos \omega t $ . What will be their resultant amplitude
[RPMT 1996]
Options:
A) a
B) $ \sqrt{2}a $
C) $ \sqrt{3}a $
D) 2a
Show Answer
Answer:
Correct Answer: C
Solution:
$ A=\sqrt{(a _{1}^{2}+a _{2}^{2}+2a _{1}a _{2}\cos \varphi )} $ Putting $ a _{1}=a _{2}=a $ and $ \varphi =\frac{\pi }{3} $ , we get $ A=\sqrt{3}a $
BETA
