The equation of a stationary wave is ` y = 0.8 cos ((pi x)/(20)) sin 200 pi t` where ` x` is in cm and t is in s. The separation between consecutive nodes will be

Options

A. `20 cm`
B. `10 cm`
C. `40 cm`
D. `30 cm`

Answer

A

Explanation

Standard equation
` y = A cos ( 2 pi x)/( lambda) sin ( 2 pi vt)/(lambda)`
By comparing this equation with given equation.
`( 2 pi x)/( lambda) = (pi x)/( 20) rArr lambda = 40 cm`
Distance between two nodes ` = lambda//2 = 20 cm`.