Q.

The air column in a closed organ pipe of length 25 cm is oscillating in second overtone when a standing wave is produced in it. Ignoring end effect, find the minimum distance from the open end of the tube where variation of pressure is maximum.

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a

5 cm

b

3 cm

c

10 cm

d

8 cm

answer is A.

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Detailed Solution

Frequency of second over tone,  f=5.v4l∴Wave length λ=vf=4l5Maximum variation of pressure takes place at node∴Minimum distance =λ4=l5=255 cm=5 cm
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The air column in a closed organ pipe of length 25 cm is oscillating in second overtone when a standing wave is produced in it. Ignoring end effect, find the minimum distance from the open end of the tube where variation of pressure is maximum.