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14. waves and sound — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics14. waves and sound1 Mark
MCQ
An air column, closed at one end and open at the other, resonates with a tuning fork when the smallest length of the column is $50\, cm.$ The next larger length of the column resonating with the same tuning fork is .... $cm$
  • A
    $100$
  • ✓
    $150$
  • C
    $200$
  • D
    $66.7$
✓

Answer

Correct option: B.
$150$
b
From figure,

First harmonic is obtained at

$l=\frac{\lambda}{4}=50 \mathrm{cm}$

Third harmonic is obtained for resonance,

$l^{\prime}=\frac{3 \lambda}{4}=3 \times 50=150 \mathrm{cm}$

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