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Waves — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysicsWaves1 Mark
MCQ
Which of the following statements are true for a stationary wave?
  • A
    Every particle has a fixed amplitude which is different from the amplitude of its nearest particle.
  • B
    All the particles cross their mean position at the same time.
  • C
    There is no net transfer of energy across any plane.
  • ✓
    All of the above
✓

Answer

Correct option: D.
All of the above
In stationary waves $[\text{y}(\text{x, t})=\text{a}\sin\text{kx}\cos\omega\text{t}]$ the particles between two nodes vibrates with different amplitude which increases fron nodes.
The amplitude of a particle will remain constant a $\cos kx,$ but varies with $\lambda$
$\because\text{k}=\frac{2\pi}{\lambda}.$
Hence verifies the option $(a)$
particles between two nodes are in same phase
i.e., motion of particles between two nodes will be either upward or downward and crosses the mean position at same time.
Hence the verifies option $(b)$
Hence the reject option $(c)$
As the particles at nodes are rest so energy does not transfer verifies option $(c)$
The amplitude of particles at nodes has amplitude zero verifies option $(c)$

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