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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 upper end and the lower end of the tube are respectively .

A

open-closed

B

closed-open

C

open-open

D

closed-closed

Text Solution

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The correct Answer is:
A
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  • 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. Equation of the standing wave in terms of excess pressure is ( take bulk modulus = 5 xx 10^(5) N//m^(2) ))

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    D
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