Pipe A, open at both ends, is long and is at . Pipe B, also open at both ends, is at…

PHYSICS · Subjective · A Level · Physics · Waves · Waves

Problem

Pipe A, open at both ends, is

0.45\,\text{m}

long and is at

20^{\circ}\text{C}

. Pipe B, also open at both ends, is at

30^{\circ}\text{C}

. The third harmonic of pipe A is required to have the same frequency as the fundamental of pipe B. Assuming the speed of sound is

331\,\text{m\,s}^{-1}

0^{\circ}\text{C}

and increases by

0.6\,\text{m\,s}^{-1}

for every

1^{\circ}\text{C}

rise in temperature, calculate the length of pipe B.