Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): An open organ pipe produces a richer musical sound than a closed organ pipe of the same fundamental frequency. Reason (R): The fundamental frequency of an open organ pipe is twice the fundamental frequency of a closed organ pipe of the same length. In the light of the above statements, choose the m

Step-by-step solution

Assertion (A) is correct: An open organ pipe produces a richer and more musical sound because it generates all harmonics (both even and odd), whereas a closed organ pipe generates only odd harmonics. The presence of a larger number of overtones enhances the quality (timbre) of the sound. Reason (R) is also correct: The fundamental frequency of an open pipe is f_o = v 2L , and for a closed pipe of the same length it is f_c = v 4L . Thus, f_o = 2f_c . However, Reason (R) does not explain Assertion (A). The richness o