Asked in PMC Practice Test 32 (2021) 2021

A stationary wave is set up in a pipe of length L, which is open from both ends. There are three nodes. How many antinodes are there in the stationary wave?

Correct answer: C. 4

  • A. 2
  • B. 3
  • C. 4
  • D. 6

Explanation

Correct Option: CIn a stationary wave in a pipe open from both ends, the number of antinodes is always one more than the number of nodes. In this case, the question states that there are three nodes. Therefore, the number of antinodes can be calculated as:Number of antinodes = Number of nodes + 1Number of antinodes = 3 + 1 = 4

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About Stationary Waves

Stationary waves form when two waves of the same frequency and amplitude travel in opposite directions and interfere. The topic covers nodes, antinodes, wavelength, phase, resonance, and the allowed frequencies on strings and in air columns. Unlike progressive waves, stationary waves do not transfer energy from one point to another.

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