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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.
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 piN//m^(2)) sin "(2pi)/(0.8)(y + 1 cm) cos 2pi(400t)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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