AP EAMCET · PHYSICS · Waves and Sound
A steel wire of length 81 cm has a mass of \(5 \times 10^{-3} \mathrm{~kg}\). If the wire is under a tension of 50 N, then the speed of transverse waves on the wire is
- A \(100 \mathrm{~m} \mathrm{~s}^{-1}\)
- B \(105 \mathrm{~m} \mathrm{~s}^{-1}\)
- C \(90 \mathrm{~m} \mathrm{~s}^{-1}\)
- D \(60 m s^{-1}\)
Answer & Solution
Correct Answer
(C) \(90 \mathrm{~m} \mathrm{~s}^{-1}\)
Step-by-step Solution
Detailed explanation
\( L = 81 \mathrm{~cm} = 0.81 \mathrm{~m} \) \( v = \sqrt{\frac{T}{m/L}} = \sqrt{\frac{TL}{m}} = \sqrt{\frac{50 \mathrm{~N} \times 0.81 \mathrm{~m}}{5 \times 10^{-3} \mathrm{~kg}}} \) \(v=\sqrt{\frac{40.5}{0.005}}=\sqrt{8100}\) \(v\) = \(90 m s ^{-1}\)
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