The first overtone of the vibrating air column of a closed pipe has the same frequency as the second overtone of an open pipe 1.5 ~m Jung. The length of the closed pipe is

Step-by-step solution

Frequency is given by v , where v is the speed of the sound and the length of the pipe. For the second overtone of an open pipe: aligned & 3 2 =L_O & f_O= 3 v 2 L_O aligned For the first overtone of the closed pipe: aligned & 3 4 =L_C & f_C= 3 v 4 L_C aligned If they have the same frequency: 3 v 2 L_O = 3 v 4 L_C L_C= L_O 2 = 1.5 2 ~m