Wave Mechanics Question 632
Question: Equation of a progressive wave is given by $ y=4\sin [ \pi ( \frac{1}{5}-\frac{x}{9} )+\frac{\pi }{6} ] $ Then which of the following is correct?
Options:
A) v = 5cm
B) $ \lambda =18cm $
C) a = 0.04 cm
D) f=50Hz
Show Answer
Answer:
Correct Answer: B
Solution:
[b] The standard equation of a progressive wave is $ y=a,\sin [ 2\pi ( \frac{t}{T}-\frac{x}{\lambda } )+\phi ] $ The given equation can be written as $ y=4\sin [ 2\pi ( \frac{t}{10}-\frac{x}{18} )+\frac{\pi }{6} ] $
$ \
Therefore ,a=4cm,,T=10s,,\lambda =18cm $ and $ \phi =\pi /6 $ Hence, [b] is correct.
BETA
