An open pipe of length produces its fundamental note at with frequency

PHYSICS · Single correct · A Level · Physics · Waves · Waves

Problem

An open pipe of length 0.50 m0.50\,\text{m} produces its fundamental note at 20∘C20^{\circ}\text{C} with frequency 343 Hz343\,\text{Hz}. Assuming the speed of sound in air varies as the square root of the absolute temperature, determine the fundamental frequency of the pipe at 40∘C40^{\circ}\text{C}. (Take temperature in kelvin.) (a) 366 Hz366\,\text{Hz} (b) 355 Hz355\,\text{Hz} (c) 332 Hz332\,\text{Hz} (d) 343 Hz343\,\text{Hz}

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