Waves - Result Question 45

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47. The number of possible natural oscillation of air column in a pipe closed at one end of length $85 cm$ whose frequencies lie below $1250 Hz$ are : (velocity of sound $=340 ms^{-1}$ ) [2014]

======= ####47. The number of possible natural oscillation of air column in a pipe closed at one end of length $85 cm$ whose frequencies lie below $1250 Hz$ are : (velocity of sound $=340 ms^{-1}$ ) [2014]

3e0f7ab6f6a50373c3f2dbda6ca2533482a77bed:content/english/neet-pyq-chapterwise/physics/waves/waves—result-question-45.md (a) 4

(b) 5

(c) 7

(d) 6

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Answer:

Correct Answer: 47. (d)

Solution:

  1. (d) In case of closed organ pipe frequency,

$f_n=(2 n+1) \frac{v}{4 l}$

for $n=0, f_0=100 Hz$

$n=1, f_1=300 Hz$

$n=2, f_2=500 Hz$

$n=3, f_3=700 Hz$

$n=4, f_4=900 Hz$

$n=5, f_5=1100 Hz$

$n=6, f_6=1300 Hz$

Hence possible natural oscillation whose frequencies $<1250 Hz=6(n=0,1,2,3,4,5)$