Answer:
(a) Frequency of the standing wave is 614.28 Hz.
(b) Frequency of the standing waves is 1228.56 Hz.
Explanation:
Frequency of standing wave in the case of one end open and other end closed of pipe (also known as stopped pipe) is given by the relation :
.....(1)
Here is the frequency of nth harmonic, v is speed of wave, L is length of the pipe and n is the harmonic which only takes values 1,3,5.. and so on.
(a) Given :
Speed of sound in air, v = 344 m/s
Length of tube, L = 14 cm = 0.14 m
n = 1
Substitute these values in equation (1).
<em>f₁ = </em>614.28 Hz
(b) In this case, half of the tube is filled with water. So,
Length of tube having air, L = (0.14)/2 = 0.07 m
Substitute the suitable values in equation (1).
<em>f₁ = </em>1228.56 Hz