A student is performing the experiment of Resonance Column. The d… - Vidyadip

MCQ

A student is performing the experiment of Resonance Column. The diameter of the column tube is $4 \ cm$. The distance frequency of the tuning for $k$ is $512 \ Hz$. The air temperature is $38^{\circ} C$ in which the speed of sound is $336 \ m / s$. The zero of the meter scale coincides with the top and of the Resonance column. When first resonance occurs, the reading of the water level in the column is

A
$14.0$
✓
$15.2$
C
$16.4$
D
$17.6$

✓

Answer

Correct option: B.

$15.2$

b
$\frac{ V }{4(\ell+ e )}= f $

$\Rightarrow \ell+ e =\frac{ V }{4 f } $

$\Rightarrow \ell=\frac{ V }{4 f }- e $

$\text { here } \quad e =(0.6) r =(0.6)(2)=1.2 \ cm $

$\text { so } \ell=\frac{336 \times 10^2}{4 \times 512}-1.2=15.2 \ cm$

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