JEE Mains · Physics · STD 11 - 14. waves and sound
In an experiment to determine the velocity of sound in air at room temperature using a resonance is observed when the air column has a length of \(20.0 \,cm\) for a tuning fork of frequency \(400 \,Hz\) is used. The velocity of the sound at room temperature is \(336 \,ms ^{-1}\). The third resonance is observed when the air column has a length of ......... \(cm\)
- A \(103\)
- B \(100\)
- C \(110\)
- D \(104\)
Answer & Solution
Correct Answer
(D) \(104\)
Step-by-step Solution
Detailed explanation
For first resonance \(\ell_{1}+ e =\frac{\lambda}{4}\) \(\lambda=\frac{336}{400} \times 100 \,cm =84 \,cm \Rightarrow \frac{\lambda}{4}=21 \,cm\) \(e =21-20=1 \,cm\) For third resonance \(\ell_{3}+ e =\frac{5 \lambda}{4}=105 \,cm \Rightarrow \ell_{3}=104 \,cm\)
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