A student is performing the experiment of the resonance column. The...

A student is performing the experiment of the resonance column. The diameter of the column tube is

6cm

. The frequency of the tuning fork is

504Hz

. Speed of the sound at the given temperature is

336m{s}^{- 1}

. The zero of the meter scale coincides with the top end of the resonance column tube. The reading of the water level in the column when the first resonance occurs is:

Options

A $14 . 8cm$
B $18 . 4cm$
C $16 . 6cm$
D $13cm$

Correct answer

A. $14 . 8cm$

Step-by-step solution

$d = 6cm, f = 504, v = 336m{s}^{- 1}$

$e = 0 . 3d$

$l + e = \dfrac{\lambda}{4} = \dfrac{V}{4f}$

$l = 16 . 66 - 0 . 3 \times 6$

$l = 14 . 866cm$

$l = 14 . 8cm$

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