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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 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 air column is vibrating in

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) ))

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. Assume end correction approximately equals to (0.3) xx (diameter of tube) , estimate the moles of air pressure inside the tube (Assume tube is at NTP , and at NTP , 22.4 litre contain 1 mole )

If the end correction of closed organ pipe is 0.3 cm then the diameter of the tube will be

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Knowledge Check

  • 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 :

    A
    open - closed
    B
    closed - open
    C
    open - open
    D
    closed - closed

  • 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 air column is vibrating in

    A
    First overtone
    B
    Second overtone
    C
    Third overtone
    D
    fundamental mode

  • 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) ))

    A
    `P _(ex) = (125 pi N//m^(2)) sin ( 2pi)/(0.8) ( y + 1 cm) cos (400 t)`
    B
    `P _(ex) = (125 pi N//m^(2)) cos ( 2pi)/(0.8) ( y + 1 cm) sin (400 t)`
    C
    `P _(ex) = (225 pi N//m^(2)) sin ( 2pi)/(0.8) ( y + 1 cm) cos (200 t)`
    D
    `P _(ex) = (225 pi N//m^(2)) cos ( 2pi)/(0.8) ( y + 1 cm) sin (200 t)`