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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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a
150cm
b
200cm
c
66.7cm
d
100cm

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detailed solution

Correct option is A

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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