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A student is performing the experiment o...

A student is performing the experiment of resonance column. The diameter of the column tube is `4 cm` . The frequence of the tuning fork is `512 H_(Z)` . The air temperature is `38^(@) C` in which the speed of sound is `336 m//s` . The zero of first meter scale coincide with theb top nend of the resonance column tube . When the first resonance occurs, the reading of the water level in the column is
(a) `14.0 cm`
(b) `15.2 cm`
(c) `16.4 cm`
(d) `17.6 cm`

Text Solution

Verified by Experts

With end correction,
`f =n [(upsilon)/(4(l+e))]` , (where , `n= 1,3`….)
= `n [(upsilon)/(4(l + 0.6 r))]`
Because , `e= 0.6r`, where `r` is redius of pipe.
For first resonance, `n = 1`
`:.f = (upsilon)/(4 (l + 0.6r))` or `l=(upsilon )/(4f)- 0.6 r= [((336xx100)/(4xx512)) -0.6xx2] cm`
= `15.2 cm`
`:.` The correct option is (b).
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