A pipe of ( 30 ~cm ) long and open at both the ends produces harmonics. Which harmonic mode of pipe resonates a ( 1.1 kHz ) source ? Given speed of sound in air ( =330 ~ms ⁻¹ ).

Step-by-step solution

Given, length of pipe, L=30 ~cm =30 10⁻² ~m ; frequency, f=1.1 kHz =1.1 10³ ~Hz ; speed of sound, v=330 ~ms ⁻¹ We know f=n v 2 L 1.1 10³=n 330 2 30 10⁻² 1.1 10³=n 11 2 10⁻² n= 1.1 10³ 2 10⁻² 11 =2