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⚛️ Physics  ·  Waves  ·  NEET & JEE

A wave has equation y = 2 sin(4*pi*t - pi*x). Frequency and wavelength:

Answer: f=2 Hz, lambda=2 m.

  • A f=2 Hz, lambda=2 m
  • B f=4 Hz, lambda=4 m
  • C f=2 Hz, lambda=pi m
  • D f=4 Hz, lambda=2 m

Correct answer: A. f=2 Hz, lambda=2 m

Explanation: y = A sin(omega*t - kx). omega = 4*pi so f = omega/(2*pi) = 2 Hz. k = pi so lambda = 2*pi/k = 2 m.

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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