Question

The equation of the progressive wave which forms the stationary wave is

$y=4sin\left(\frac{\pi x}{5}\right)$ $cos\left(100\pi t\right)$. Then the distance between two consecutive nodes is :

• A. 5 m
• B. 50 m
• C. 10 m
• D. 2 m

Answer 1

The correct option is C 10 m

The equation of the progressive wave which is the forms the stationary wave is,

$y=4sin\left(\frac{\pi x}{5}\right).cos\left(100\pi t\right)$

The distance between two consecutive nodes is $\lambda$

From the above equation,

$k=\frac{\pi }{5}=\frac{2\pi }{\lambda }$

$\lambda =10m$

The correct option is C.