Question

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

Answer 1

Correct Answer - C
`y(x,t)=2 sin (0.1 pix)cos (100pit)`
compare with
`y= A sin (Kx) cos omegat`
`K=0.1pi =(2pi)/(lambda)`
`(pi)/(4)=(20)/(4)=5cm`