AIPMT PRELIMS2012Physics-Waves
AIPMT PRELIMS 2012 Physics Fundamental Frequency MCQ Question
Type: MCQ-conceptual-Medium-Class 11
When a string is divided into three segments of length l₁, l₂, and l₃, the fundamental frequencies of these three segments are v₁, v₂ and v₃ respectively. The original fundamental frequency (v) of the string is
A
1/√v = 1/√v₁ + 1/√v₂ + 1/√v₃
B
√v = √v₁ + √v₂ + √v₃
C
v = v₁ + v₂ + v₃
D
1/v = 1/v₁ + 1/v₂ + 1/v₃
Correct Answer
Option D
Detailed Explanation
The original frequency is the harmonic mean of the frequencies of the segments. Thus, 1/v = 1/v₁ + 1/v₂ + 1/v₃.
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