The paritcle displacement (in cm) in a stationary wave is given by `y(x,t)=2sin(0.1pix)cos(100pit)`. The distance between a node and the next antinode is

Options

A. 2.5 cm
B. 7.5 cm
C. 5 cm
D. 10 cm

Answer

C

Explanation

We use
`y(x,t) = 2sin(0.1pix)cos(100pit)` compare with `y = A sin(Kx) cos omega t`
`K = 0.1 pi = (2pi)/(lambda)`
lambda = 20 cm
Distance between closet node and antinode is
`(lambda)/(4) = (20)/(4)` = 5 cm