Wave Mechanics Question 713
Question: The stationary wave produced on a string is represented by the equation $ y=5\cos (\pi x/3)\sin 40\pi t $ . Where x and y are in cm and $ t $ is in seconds. The distance between consecutive nodes is
[MP PMT 2000]
Options:
A) 5 cm
B) $ \pi $ cm
C) 3 cm
D) 40 cm
Show Answer
Answer:
Correct Answer: C
Solution:
On comparing the given equation with standard equation
$ \Rightarrow \frac{2\pi }{\lambda }=\frac{\pi }{3}\Rightarrow \lambda =6,cm $ . Hence, distance between two consecutive nodes
Therefore l = 3 cm