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A source of sound placed at the open end of a resonance column sends an acoustic wave of pressure amplitude ρ0 inside the tube. If the atmospheric pressure is ρA, then the ratio of maximum and minimum pressure at the closed end of the tube will be

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a

(ρA+ρ0)(ρA−ρ0)

b

(ρA+2ρ0)(ρA−2ρ0)

c

ρAρA

d

ρA+12ρ0ρA−12ρ0

answer is A.

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Detailed Solution

Maximum pressure at closed end will be atmospheric pressure adding with acoustic wave pressure So ρmax=ρA+ρ0 and ρmin=ρA−ρ0Thus ρmaxρmin=ρA+ρ0ρA−ρ0

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