wave_mechanics critical_thinking Question 30
Question: The frequency of a stretched uniform wire under tension is in resonance with the fundamental frequency of a closed tube. If the tension in the wire is increased by 8 N, it is in resonance with the first overtone of the closed tube. The initial tension in the wire is
[EAMCET (Engg.) 2000]
Options:
A) 1 N
B) 4 N
C) 8 N
D) 16 N
Show Answer
Answer:
Correct Answer: A
Solution:
According to problem $ \frac{1}{2L}\sqrt{\frac{T}{m}}=\frac{v}{4L} $ ?..(i) and $ \frac{1}{2L}\sqrt{\frac{T+8}{m}}=\frac{3v}{4L} $ ..?(ii) Dividing equation (i) and (ii), $ \sqrt{\frac{T}{T+8}}=\frac{1}{3}\Rightarrow T=1N $
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