QNEET-2023-Ph-237: NEET 2023 Physics - Class 11 NEET-2023-Ph-237 Solution: The ratio of frequencies of fundamental harmonic produced by an …

The fundamental frequency of an open pipe, n oop , is given by V / (2L) , where V is the speed of sound and L is the length of the pipe. For a closed pipe of the same length, the fundamental frequency, n cop , is V / (4L) since only half as many wavelengths fit into the same length due to the closed end. Therefore, the ratio of frequencies of an open pipe to a closed pipe is: n oop n cop = V / ( 2 L ) V / ( 4 L ) = 4 L 2 L = 2 : 1 This shows that the fundamental frequency of an open pipe is twice that of a closed pipe of the same length.