Question

an air column in a pipe which is closed at one end will be reason and sweet the vibrating body of frequency 83 Hz then the length of the air column is

Answer 1

fundamental frequency in open organ pipe is given by $\eta=\frac{v}{4l}$
where v is the speed of sound and l is the length of organ pipe ( air column)

generally, v = 340 m/s
$\eta=83Hz$ [given]

so, 83 = 340/4l

or, l = 340/(83 × 4) = 1.024 m

hence, length of air column is 1.024m