JEE MainPhysicsDual Nature of RadiationMCQ+4 / −1
In a photoelectric experiment, increasing the intensity of incident light :
- Aincreases the number of photons incident and also increases the K.E. of the ejected electrons
- Bincreases the frequency of photons incident and increases the K.E. of the ejected electrons
- Cincreases the frequency of photons incident and the K.E. of the ejected electrons remains unchanged
- Dincreases the number of photons incident and the K.E. of the ejected electrons remains unchanged
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Correct answer: D
-
Photoelectric equation
For photoelectric emission, the maximum kinetic energy of emitted electrons is given by Einstein’s photoelectric equation: where:
- = Planck’s constant
- = frequency of incident light
- = work function of the metal
-
Effect of increasing intensity
Intensity of light is related to the number of photons incident per unit time (for a given frequency).
So, when intensity increases without changing frequency:
- the number of photons incident increases,
- hence the number of emitted electrons may increase,
- but the energy of each photon remains the same because photon energy is:
-
Effect on kinetic energy of photoelectrons
Since the frequency remains unchanged, from the maximum kinetic energy of ejected electrons also remains unchanged.
-
Evaluate options
- A: increases number of photons and also increases K.E. of electrons → Incorrect
- B: increases frequency and increases K.E. → Incorrect
- C: increases frequency and K.E. unchanged → Incorrect
- D: increases number of photons and K.E. unchanged → Correct
-
Final answer
Therefore, the correct option is:
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