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Effect of Intensity of Light on Photocurrent

conceptmedium~10 min study9 MCQ

Observation that the photocurrent (number of emitted photoelectrons) is directly proportional to the intensity of incident radiation.

What is Effect of Intensity of Light on Photocurrent?

The electric current produced due to the emission of photoelectrons from a surface when light of suitable frequency falls on it.

Key formula / rule: Photocurrent and Intensity Relationship

Key points

  • To understand the relationship between light intensity and photocurrent.
  • To explain why photocurrent increases with light intensity.
  • To differentiate the effect of intensity from the effect of frequency on photoemission.

Common exam trap

Confusing intensity with frequency: Students often incorrectly assume that increasing intensity affects the energy of individual photons, which is incorrect. Frequency determines photon energy.

Definitions

Term

Photocurrent

Meaning

The electric current produced due to the emission of photoelectrons from a surface when light of suitable frequency falls on it.

Term

Intensity of Light

Meaning

A measure of the energy flux of electromagnetic radiation, typically expressed as power per unit area. In the context of photons, it relates to the number of photons incident per unit area per unit time.

Term

Threshold Frequency (ν₀)

Meaning

The minimum frequency of incident radiation below which the photoelectric effect does not occur, irrespective of the intensity of the radiation.

Learning objectives

  • To understand the relationship between light intensity and photocurrent.

  • To explain why photocurrent increases with light intensity.

  • To differentiate the effect of intensity from the effect of frequency on photoemission.

Formulae

Name

Photocurrent and Intensity Relationship

Note

Ip is the photocurrent, I is the intensity of incident light, and \ν0 is the threshold frequency.

Expression

Ip \propto I \quad \text{(for } \ν \ge \ν0\text{)}

Name

Einstein's Photoelectric Equation

Note

While not directly about intensity, it's crucial to remember that intensity affects the number of electrons, not Kmax. h is Planck's constant, \ν is frequency, \φ is work function, Kmax is maximum kinetic energy.

Expression

h\ν = \φ + Kmax

Prerequisites

  • Understanding of electromagnetic waves and light.

  • Concept of photons and their energy (E=hν).

  • Work function of a metal.

  • Threshold frequency.

  • Basic understanding of electric current.

Common mistakes

  • Confusing intensity with frequency: Students often incorrectly assume that increasing intensity affects the energy of individual photons, which is incorrect. Frequency determines photon energy.

  • Ignoring the threshold frequency condition: The direct proportionality holds only if the incident light's frequency is above the threshold frequency.

  • Assuming photocurrent increases with intensity indefinitely: While directly proportional, the relationship is within the limits of the experimental setup and the material's properties.

Keywords

  • Photoelectric effect

  • Photocurrent

  • Light intensity

  • Photon

  • Threshold frequency

  • Photoemission

  • Lenard's observations

  • Einstein's photoelectric equation

Practice preview

  • In the context of the photoelectric effect, what does increasing the intensity of incident light primarily signify?

    easy

  • If the intensity of monochromatic light falling on a photosensitive surface is doubled, while keeping its frequency constant and above the threshold frequency, what happens to the photocurrent?

    easy

  • Which graph correctly represents the variation of photocurrent (I_p) with the intensity of incident light (I) in a photoelectric experiment, assuming the frequency of light is above the threshold frequency?

    medium