Question

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.
A. `1%`
B. `1.2 %`
C. `1.4%`
D. `1.6%`

Answer 1

Correct Answer - C
`v=2f_(0)(l_(2)-l_(1))`
`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 %`