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TS EAMCET · Physics · Waves and Sound

Standing waves are produced in a string 16 \(\mathrm{m}\) long. If there are 9 nodes between the two fixed ends of the string and the speed of the wave is \(32 \mathrm{~m} / \mathrm{s}\), what is the frequency of the wave?

  1. A \(5 \mathrm{~Hz}\)
  2. B \(10 \mathrm{~Hz}\)
  3. C \(30 \mathrm{~Hz}\)
  4. D \(20 \mathrm{~Hz}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(10 \mathrm{~Hz}\)

Step-by-step Solution

Detailed explanation

Given, length of spring, \(l=16 \mathrm{~m}\) speed of wave, \(v=32 \mathrm{~m} / \mathrm{s}\) and total number of nodes between the two fixed ends of the string \(=9\) \(\therefore\) Total number of segments of vibrations between fixed ends, \(p=9+1=10\) \(\therefore\)…
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