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 50cm. The next larger length of the column resonating with the same tuning fork is

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150cm

200cm

66.7cm

100cm

answer is A.

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Detailed Solution

From figure, First harmonic is obtained at l=λ4=50 cmThird harmonic is obtained for resonance,l'=3λ4=3×50=150 cm

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