A pipe open at both ends has length 1 m. The air column in a pipe cannot resonate for a frequency (Neglect end correction, speed of sound in air = 340 m/s)

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For a pipe open at both ends, the resonant frequencies are given by $f_{n} = \frac{n v}{2 L}$ , where $n = 1, 2, 3, \dots$

Given $v = 340$ m/s and $L = 1$ m.

The fundamental frequency is $f_{1} = \frac{340}{2 \times 1} = 170$ Hz.

The possible resonant frequencies are integral multiples of the fundamental frequency, i.e., $170$ Hz, $340$ Hz, $510$ Hz, $\dots$

Since $85$ Hz is not an integral multiple of $170$ Hz, the air column cannot resonate at this frequency.

Answer: $85$ Hz

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