1.

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

Answer» Correct Answer - C
`y(x,t)=2sin(0.1pix)cos(100pit)`
compare with `y=Asin(Kx)cosomegat`
`K=0.1pi=(2pi)/(lamda)implieslamda=2cm`
The distance between a node and the next antinode
`=(pi)/(4)=(20)/(4)=5cm`


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