1.

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

Answer» Correct Answer - A
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`.


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