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

A metal has threshold frequency 5.0 × 1014 Hz. It is illuminated with light of frequency 8.0 × 1014 Hz. If the incident frequency is changed to 1.1 × 1015 Hz, by what factor does the maximum kinetic energy increase? Assume the work function remains unchanged.

Answer: 2.0.

  • A 1.5
  • B 2.0
  • C 1.67
  • D 2.5

Correct answer: B. 2.0

Explanation: Einstein's equation gives Kmax = h(ν - ν0). Initially K1 = h(8 - 5) × 1014 = 3h × 1014. Finally K2 = h(11 - 5) × 1014 = 6h × 1014. Therefore K2/K1 = 2.

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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