In an organ pipe (may be closed or open) of 99 cm length standing wave is setup, whose equation is given by longitudinal displacement
= (0.1 mm) cos 
(y + 1 cm) cos 2π(400) t
where y is measured from the top of the tube in centimeters and t in second. Here 1 cm is the end correction.
(i) The upper end and the lower end of the tube are respectively:
Text Solution
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(i)
Sol. 
end correction is 1 cm, so at 
.
So upper end is open.
at lower end 
Node
tube is closed at lower end
So tube is open closed.
(ii)
Sol. 
So 
and effective length of air column 
So 
, so five half loops will be formed
so second overtone.
(iii)
Sol. 
(iv)
Sol. 
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