An organ pipe closed at one end has fundamental frequency of 1500 Hz . The maximum number of overtones generated by this pipe which a normal person can hear is (Normal man can hear the frequency up to 19.5 kHz , Neglect end correction)

Step-by-step solution

Frequency of audible overtones for an organ pipe closed at one end The fundamental frequency is given by f₁ = 1500 Hz , and the upper limit of hearing is 19.5 kHz = 19500 Hz . Since the pipe is closed at one end, only odd harmonics are present, with frequencies f_n = n f₁ where n is an odd integer. The maximum odd integer n satisfying n 1500 19500 is n 19500 1500 = 13 . Valid values of n are 1, 3, 5, 7, 9, 11, 13 . The fundamental frequency f₁ is not an overtone, so the overtones correspond to n = 3, 5, 7, 9, 11, 1