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Answer» Hii dear,
You have posted incomplete question. I have seen similar question somewhere.
# Complete question- In a closed ORGAN pipe of length 105 centimetres standing waves are setup corresponding to 3rd OVERTONE. What distance from the closed end a PRESSURE NODE is formed?
# ANSWER- 45 cm
# Explaination-
# Given-
L=105cm
# Formula-
For closed organ pipe with length L,
3rd overtone is given by,
λ=4L/7
From closed end pressure node is formed at 3λ/4.
3λ/4 = 3×4L / 7×4
3λ/4 = 3L/7
3λ/4 = 3×105/7
3λ/4 = 45cm.
Hope that was useful...
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