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A tuning fork of frequency 340 Hz is vibrated just above a closed organ pipe of length 120 cm. speed of sound in air is 340 m/s. Water is slowly poured into tube. Minimum length of water column required for resonance is (Neglect end correction)

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45 cm

75 cm

25 cm

95 cm

answer is C.

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Detailed Solution

Length of air column $= \frac{λ}{4}, \frac{3 λ}{4}, ......$

here, $λ = \frac{340}{340} = 1 m$

$L \geq length of air column$
so, Min length of water column $= L - \frac{3 λ}{4} = 120 - 75 = 45 c m$

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