Question

The equation of the stationary wave is

$y = 2A \sin(\frac{2 \pi ct}{\lambda}) \cos(\frac{2 \pi x}{\lambda})$

Answer 1

The maximum amplitude is 2A.

Answer 2

The given equation represents a stationary wave. The amplitude of the wave is not constant but varies with position $x$. The amplitude at position $x$ is given by $A(x) = |2A \cos(\frac{2 \pi x}{\lambda})|$. The maximum amplitude is $2A$, which occurs at antinodes. Therefore, the maximum displacement amplitude of the stationary wave is $2A.