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What are the characteristics of stationary waves? Write two conditions of reflection of waves? By what factor would you have to multiply the tension in the string to double the wave velocity? Why standing wave cannot transfer energy? How many numbers of nodes and antinodes contain a stationary wave vibrating with ‘n’ number of loops?

Question

What are the characteristics of stationary waves?

Write two conditions of reflection of waves?

By what factor would you have to multiply the tension in the string to double the wave velocity?

Why standing wave cannot transfer energy?

How many numbers of nodes and antinodes contain a stationary wave vibrating with ‘n’ number of loops?

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Solution

Sure, I can answer your questions step by step:

  1. Characteristics of stationary waves:
  • Stationary waves are formed by the superposition of two waves with the same frequency and amplitude traveling in opposite directions.
  • They appear to be standing still, hence the name "stationary" waves.
  • The nodes and antinodes of the wave remain fixed in position.
  • The amplitude of the wave varies along the length of the wave.
  1. Conditions of reflection of waves:
  • The first condition is that the medium through which the wave is traveling must have a boundary or interface.
  • The second condition is that the wave must strike the boundary at an angle other than 90 degrees (normal incidence).
  1. To double the wave velocity, you would have to multiply the tension in the string by a factor of four. This is because the wave velocity is directly proportional to the square root of the tension in the string.

  2. Standing waves cannot transfer energy because the particles of the medium do not actually move from one place to another. Instead, they oscillate in fixed positions, causing the wave pattern to appear stationary. As a result, there is no net transfer of energy along the wave.

  3. A stationary wave vibrating with 'n' number of loops contains 'n' number of nodes and 'n-1' number of antinodes. Nodes are the points of zero displacement, while antinodes are the points of maximum displacement.

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