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

A metal has threshold frequency 5.0 &times; 10<sup>14</sup> Hz. It is illuminated with light of frequency 8.0 &times; 10<sup>14</sup> Hz. If the incident frequency is changed to 1.1 &times; 10<sup>15</sup> 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 K<sub>max</sub> = h(&nu; - &nu;<sub>0</sub>). Initially K<sub>1</sub> = h(8 - 5) &times; 10<sup>14</sup> = 3h &times; 10<sup>14</sup>. Finally K<sub>2</sub> = h(11 - 5) &times; 10<sup>14</sup> = 6h &times; 10<sup>14</sup>. Therefore K<sub>2</sub>/K<sub>1</sub> = 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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