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If a tunnig fork of frequency (f(0)) 340...

If a tunnig fork of frequency `(f_(0)) 340 Hz` and tolerance `pm 1%` is used in resonance coulmn method `[v=2f_(0)(l_(2)-l_(1))]`, the first and the second resonance are measured at `l_(1)=24.0 cm` and `l_(2)=74.0 cm`. Find max. permissible error in speed of sound.

Text Solution

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`v =2f_(0) (l_(2) -l_(2))`
`rArr ((Deltav)/(v))_(max)=(Deltaf_(0))/(f_(0))+(Deltal_(1)+Deltal_(2))/(l_(2)-l_(1))=(1)/(100)+(0.1+0.1)/(74-24)=1.4%` .
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