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Question

A wire of length one meter under a certain initial tension emits a sound of fundamental frequency 256 Hz. When the tension is increased by 1 kg wt, the frequency of the frequency of the fundamental node increases to 320 Hz. The initial tension is

A
3/4 kg wt
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B
4/3 kg wt
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C
16/9 kg wt
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D
20/9 kg wt
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Solution

The correct option is C 16/9 kg wt
fi=256Hz
Fundamental frequency
L=λ2
λ=2L
f=12LTμ=256Hz (1)
When T=T+1
f=12LT+1μ=320Hz (2)
Dividing (1) by (2)
We get TT+1=256320
=TT+1=65536102400
=T=0.64(T+1)
=0.36T=0.64
=T=169 Kg wt

960009_867282_ans_df8e2195b50047b4b41957c1fa77cc31.PNG

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