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⚛️ Physics  ·  Waves  ·  NEET & JEE

Power transmitted per unit length by a wave on a string (amplitude A, frequency f, tension T, linear density mu):

Answer: 2*pi2*mu*f2*A2*sqrt(T/mu).

  • A 2*pi2*f2*A2*sqrt(mu*T)
  • B 2*pi2*f2*A2*T
  • C pi2*f2*A2*sqrt(T/mu)
  • D 2*pi2*mu*f2*A2*sqrt(T/mu)

Correct answer: D. 2*pi2*mu*f2*A2*sqrt(T/mu)

Explanation: Power = (1/2) mu omega2 A2 v = (1/2) mu (2pi f)2 A2 sqrt(T/mu) = 2*pi2*mu*f2*A2*sqrt(T/mu).

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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