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⚛️ Physics  ·  Waves  ·  NEET & JEE

Doppler formula when observer moves toward stationary source:

Answer: f obs = f(v+v o )/v.

  • A f<sub>obs</sub> = f(v-v<sub>o</sub>)/v
  • B f<sub>obs</sub> = f(v+v<sub>o</sub>)/v
  • C f<sub>obs</sub> = fv/(v+v<sub>o</sub>)
  • D f<sub>obs</sub> = f x v<sub>o</sub>/v

Correct answer: B. f<sub>obs</sub> = f(v+v<sub>o</sub>)/v

Explanation: Observer moves toward source: effective speed of sound increases. f<sub>obs</sub> = f(v + v<sub>o</sub>)/v.

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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