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⚛️ Physics  ·  Waves  ·  NEET & JEE

Standing wave y = 5 sin(4x) cos(200t). Wave speed is:

Answer: 50 m/s.

  • A 25 m/s
  • B 50 m/s
  • C 100 m/s
  • D 200 m/s

Correct answer: B. 50 m/s

Explanation: Standing wave: y = 2A sin(kx) cos(omega t). k=4, omega=200. v = omega/k = 200/4 = 50 m/s.

Standing Wave: Nodes and Antinodes (Open Pipe, 2nd Harmonic)nodenodenodeantinodeantinodeSolid and dashed lines show the string/air column at two instants - nodes never move

A standing wave forms from two identical waves travelling in opposite directions and interfering; nodes (always zero displacement) and antinodes (maximum displacement) stay fixed in place, unlike a travelling wave where the whole pattern moves.

Concept context

Wave types, superposition, standing waves, Doppler effect, and sound intensity.

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