Wave Mechanics Stationary Waves Question 34

Question: Equation of a stationary wave is $ y=10\sin \frac{\pi x}{4}\cos 20\pi t. $ Distance between two consecutive nodes is

[MP PMT 2002]

Options:

A) 4

B) 2

C) 1

D) 8

Show Answer

Answer:

Correct Answer: A

Solution:

On comparing the given equation with standard equation $ \frac{2\pi }{\lambda }=\frac{\pi }{4}\Rightarrow \lambda =8 $ Hence distance between two consecutive nodes $ \frac{\lambda }{2}=4 $