MCQ
For a particular resonance tube, following are four of the six harmonics below $1000 Hz$; $300,600,750$ and $900 \,Hz$. The two missing harmonics are
  • A
    $75,150$ 
  • $150,450$
  • C
    $400,800$
  • D
    $250,400$

Answer

Correct option: B.
$150,450$
b
(b)

The $6^{\text {th }}$ harmonic $\left(f_6\right)=\frac{6 v }{2 l}=900$

or $\frac{v}{2 l}=150$

Hence fundamental frequency of string $\frac{v}{2 l}$ or $150 \,Hz$ is missing.

$3^{\text {rd }}$ multiple of $150$ which is $450$ is also missing.

Hence required frequencies are $150,450$ .

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