JEE Mains · Physics · STD 11 - 14. waves and sound
A tuning fork of frequency \(340\,Hz\) resonates in the fundamental mode with an air column of length \(125\,cm\) in a cylindrical tube closed at one end. When water is slowly poured in it, the minimum height of water required for observing resonance once again is________ \(cm\) (Velocity of sound in air is \(340\,ms ^{-1}\) )
- A \(48\)
- B \(49\)
- C \(50\)
- D \(54\)
Answer & Solution
Correct Answer
(C) \(50\)
Step-by-step Solution
Detailed explanation
Assumption : Ignore word "fundamental mode" in question. \(\lambda=\frac{ V }{ f }=\frac{340}{340}=1\,m\) First resonating length \(=\frac{\lambda}{4}=25\,cm\) Second resonating length \(=\frac{3 \lambda}{4}=75\,cm\) Third resonating length \(=\frac{5 \lambda}{4}=125\,cm\)…
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