Respuesta :
Answer:
(a). The frequency of this standing wave is 0.782 kHz.
(b). The frequency of the fundamental standing wave in the air is 1.563 kHz.
Explanation:
Given that,
Length of tube = 11.0 cm
(a). We need to calculate the frequency of this standing wave
Using formula of fundamental frequency
[tex]f_{1}=\dfrac{v}{4l}[/tex]
Put the value into the formula
[tex]f_{1}=\dfrac{344}{4\times0.11}[/tex]
[tex]f_{1}=781.81\ Hz[/tex]
[tex]f_{1}=0.782\ kHz[/tex]
(b). If the test tube is half filled with water
When the tube is half filled the effective length of the tube is halved
We need to calculate the frequency
Using formula of fundamental frequency of the fundamental standing wave in the air
[tex]f_{1}=\dfrac{v}{4(\dfrac{L}{2})}[/tex]
Put the value into the formula
[tex]f_{1}=\dfrac{344}{4\times\dfrac{0.11}{2}}[/tex]
[tex]f_{1}=1563.63\ Hz[/tex]
[tex]f_{1}=1.563\ kHz[/tex]
Hence, (a). The frequency of this standing wave is 0.782 kHz.
(b). The frequency of the fundamental standing wave in the air is 1.563 kHz.
