In a resonance column first and second resonance are obtained at depths `22.7` cm and `70.2` cm. The third resonance will be obtained at a depth of

Question

In a resonance column first and second resonance are obtained at depths `22.7` cm and `70.2` cm. The third resonance will be obtained at a depth of

In a resonance column first and second resonance
are obtained at depths `22.7` cm and `70.2` cm. The
third resonance will be obtained at a depth of
A. `117.7` cm
B. `92 .9` cm
C. `115. 5` cm
D. `113. 5` cm

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - a
As, `l_(1) +x=lambda/4=22.7`
`l_(2)+x=(3lambda)/4=70.2 and l_(3) + x (5lambda)/4`
(`therefore x=(l_(2)-3l_(1))/2=(70.2-68.1)/2=(2.1)/2=1.05 cm`
Now, `(l_(3)+x)/(l_(1)+x)=5`
`rArr l_(3)=5l_(1)+4x=5xx22.7+4xx1.05=117.7` cm

4 views Answered 2023-02-05 15:29