Question

In the resonance tube experiment, the height of the air column in the tube at the time of the first resonating sound source is 0.19 meters. Sound source sound wavelength is ...
A. 0.19 m
B. 0.39 m
C. 0.57 m
D. 0.96 m

Answer 1

n = 1

L₁ = 0.19 m
λ = ___?

Air column length at first resonance
     L₁ = ¹ / ₄ λ
0.19 = ¹ / ₄ λ
      λ = 0.76 m 

Answer 2

We have formula
L = (2n-1)√/4
where n can take value = 1,2,3,……
here '√' is wavelength
for first resonating sounds
n= 1
then
L = ¼√
√ = 4×L =4×0.19= 0.76m