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⚛️ Physics  ·  Waves  ·  NEET & JEE

A source of sound moves toward a fixed wall at speed vs. Speed of sound = v. Frequency of reflected wave as heard by source:

Answer: f(v+vs)/(v-vs).

  • A f(v+vs)/(v-vs)
  • B f(v-vs)/(v+vs)
  • C f x v/(v-vs)
  • D f(v+vs)/v

Correct answer: A. f(v+vs)/(v-vs)

Explanation: Wall receives: f' = f x v/(v-vs). Wall reflects back, source now moves toward its own reflected sound: f<sub>heard</sub> = f' x (v+vs)/v = f(v+vs)/(v-vs).

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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