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In an organ pipe (may be closed or open ...

In an organ pipe (may be closed or open ) of `99 cm` length standing wave is set up , whose equation is given by longitudinal displacement.

`xi = (0.1 mm) cos ( 2pi)/(0.8) (y + 1 cm) cos (400) t`where `y` is measured from the top of the tube in `metres` and `t "in" seconds` . Here `1 cm` is the end correction.
The air column is vibrating in

A

`P_(ex) = (125 pi N//m^(2)) sin(2pi)/0.8 (y+ 1 cm) cos 2pi (400 t)`

B

`P_(ex) = (125 pi N//m^(2)) cos (2pi)/0.8 (y+ 1cm) sin 2pi (400 t)`

C

`P_(ex) = (225 pi N//m^(2)) sin (2pi)/0.8 (y+1 cm) cos 2pi(200t)`

D

`P_(ex) = (225 pi N//m^(2)) cos (2pi)/0.8 (y +1 cm) sin 2pi (200 t)`

Text Solution

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The correct Answer is:
A
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