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