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Wheatstone Bridge

Four Students...

Question

Four Students perform resonance tube experiment. The first, second and the third resonant length observed are respectively $l_{1}$ , $l_{2}$ and $l_{3}$ . Whose readings are most appropriate ?

l_{1} = 20 c m

l_{2} = 58 c m

l_{3} = 98 c m

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l_{1} = 20 c m

l_{2} = 58 c m

l_{3} = 96 c m

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l_{1} = 20 c m

l_{2} = 62 c m

l_{3} = 104 c m

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l_{1} = 20 c m

l_{2} = 60 c m

l_{3} = 100 c m

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Solution

The correct option is A $l_{1} = 20 c m$ , $l_{2} = 62 c m$ , $l_{3} = 104 c m$ ,
In a resonance tube experiment the patterns are

First resonant length is Half loop and from there a loop keeps on adding

$l_{1} + ϵ = \frac{v_{o}}{4 f}$ $l_{2} + ϵ = \frac{3 v_{o}}{4 f}$

$l_{3} + ϵ = \frac{5 v_{o}}{4 f}$

$l_{2} = 3 l_{1} + 2 ϵ$ $l_{3} = 5 l_{1} + 4 ϵ$

The increase from normal value is doubled in case of $l_{3}$ than $l_{2}$
Option B is more accurate

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