MHT CET · Physics · Waves and Sound
In fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is 't' second. The frequency of vibration of air column is
- A \(\frac{1}{3 t}\)
- B \(\frac{1}{t}\)
- C \(\frac{1}{4 t}\)
- D \(\frac{1}{2 t}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{4 t}\)
Step-by-step Solution
Detailed explanation
The distance between the open end and the closed end in the fundamental mode is \(\frac{\lambda}{4}\). If the time required to cover the distance is \(\mathrm{t}\), then the time required to travel distance equal to \(\lambda\) will be \(4 \mathrm{t}\). Therefore the period of the wave is \(4 \mathrm{t}\). Hence the frequency is \(\frac{1}{4 \mathrm{t}}\).
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