TS EAMCET · Physics · Waves and Sound
A metal rod of length 125 cm is clamped at its midpoint. If the speed of the sound in the metal is \(5000 \mathrm{~ms}^{-1}\), then the fundamental frequency of the longitudinal vibrations of the rod is
- A 2 kHz
- B 20 kHz
- C 0.2 kHz
- D 200 kHz
Answer & Solution
Correct Answer
(A) 2 kHz
Step-by-step Solution
Detailed explanation
\(\lambda = 2L\) \(\lambda = 2 \times 1.25 \text{ m} = 2.5 \text{ m}\) \(f = \frac{v}{\lambda}\) \(f = \frac{5000 \text{ ms}^{-1}}{2.5 \text{ m}} = 2000 \text{ Hz}\) \(f = 2 \text{ kHz}\)
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