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Waves — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysicsWaves5 Marks
Question
For the wave on a string described in Exercise 15.11, do all the points on the string oscillate with the same,
  1. Frequency,
  2. Phase,
  3. Amplitude?
✓

Answer

For the wave on the string described in questions we have seen that l = 1.5m and $\lambda=3\text{m}.$ So, it is clear that $\lambda=\frac{\lambda}{2}$ and for a string clamped at both ends, it is possible only when both ends behave as nodes and there is only one antinode in between i.e., whole string is vibrating in one segment only.
  1. Yes, all the sring particles, except nodes, vibrate with the same frequency v = 60Hz.
  2. As all string particles lie in one segment, all of them are in same phase.
  3. Amplitude varies from particle to particle. At antinode, amplitude = 2A = 0.06m. It gradually falls on going towards nodes and at nodes, and at nodes, it is zero.

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