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⚛️ Physics  ·  Dual Nature of Radiation and Matter  ·  NEET & JEE

An electron and a proton are moving with equal kinetic energies. What is the ratio of their de Broglie wavelengths, λe/λp?

Answer: √1836.

  • A 1/√1836
  • B 1836
  • C √1836
  • D 1/1836

Correct answer: C. √1836

Explanation: For non-relativistic particles, λ = h/√(2mK). At equal kinetic energy, λ is proportional to 1/√m. Thus λe/λp = √(mp/me) = √1836.

evacuated tubelightmetal platee⁻e⁻e⁻collectorAbattery (variable)

In the photoelectric setup, light striking the metal plate ejects electrons that cross the evacuated tube to the collector, producing a measurable current on the ammeter.

Concept context

Photoelectric effect, de Broglie waves, Bohr's model, atomic spectra.

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