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⚛️ Physics  ·  Waves  ·  NEET & JEE

A train approaches a wall at 60 m/s sounding horn at 600 Hz. Speed of sound = 340 m/s. Frequency of echo heard by driver:

Answer: 800 Hz.

  • A 710 Hz
  • B 750 Hz
  • C 800 Hz
  • D 850 Hz

Correct answer: C. 800 Hz

Explanation: Wall receives f' = 600 x 340/(340-60) = 600 x 340/280 = 728.6 Hz. Driver now moving toward wall: f<sub>echo</sub> = 728.6 x (340+60)/340 = 728.6 x 400/340 = 857 Hz. Approx 800-850. Closest: 800 Hz.

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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