A pipe open only at one end has a fundamental frequency of 277 Hz. A second pipe, initially identical to the first pipe, is shortened by cutting off...

A pipe open only at one end has a fundamental frequency of 277 Hz. A second pipe, initially identical to the first pipe, is shortened by cutting off a portion of the open end. Now, when both pipes vibrate at their fundamental frequencies, a beat frequency of 11.1 Hz is heard. How many centimeters were cut off the end of the second pipe? The speed of sound is 343 m/s.