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PhysicsMediumNumerical2024 · 08 Apr Shift 1

Q24.A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is ( a−1a ) then the value of a is ________ → 2^i+6^j+8^k 2^i+^j+^k . The

What This Question Tests

The question assesses the knowledge of frequency formulas for open and closed organ pipes, specifically focusing on overtones. It requires calculating the ratio of the seventh overtones for both types of pipes and solving for the unknown variable 'a'.

Concepts Tested

Frequencies in open organ pipesFrequencies in closed organ pipesOvertones

Formulas Used

f_open = nv/2L (n=1,2,3...)

f_closed = (2n-1)v/4L (n=1,2,3...)

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