An air column that is open at both ends has an adjustable length

PHYSICS · Multi-part · CBSE · Physics · Waves · Waves

Problem

An air column that is open at both ends has an adjustable length. When the column length is set to 0.75 m, it resonates in its fundamental mode. Assume the speed of sound in air is 340 m/s340\,\text{m/s}. (a) Determine the wavelength of the standing sound wave that corresponds to the fundamental mode in this tube. (b) Calculate the frequency of this resonance. (c) Find the distance between a displacement node and the adjacent displacement antinode inside the tube for the fundamental mode.

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