1.

In an organ pipe ( may be closed or open of 99 cm length standing wave is setup , whose equation is given by longitudinal displacement xi = (0.1 mm) cos ( 2pi)/( 0.8) ( y + 1 cm) cos 2 pi (400) t where y is measured from the top of the tube in metres and t "in second". Here 1 cm is th end correction. The upper end and the lower end of the tube are respectively :

Answer»

OPEN - closed
closed - open
open - open
closed - closed

Solution :`(0.1 mm) cos ( 2pi)/(0.8) ( y + 1 cm ) cos 2 pi7 (400) t`
end correction is `1 cm`. So at `y = - 1 cm`.
`(0.1 mm) cos ( 2 pi)/(0.8) ( - 1 cm + 1 cm) = ( 0.1 mm) cos (0) =` ANTINODE
So upper end is open.
At lower end `y = 99 cm = 0.99 m`
`= (0.1 mm) cos ( 2 pi)/( 0.8) (0.99 + 0.01)`
` = 0.01 cos ( 5 pi)/(2) = 0 rArr` Node
So tube is open closed.


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