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In photoelectric effect,...

In photoelectric effect,

A

In photoelectric current is directly proportional to the intensity of incident light.

B

`K.E._(max)` of ejected electrons is dependent on intensity of radiations.

C

there is no time lag between the incidence of photons and ejection of electrons

D

All of these are correct.

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The correct Answer is:
### Step-by-Step Solution: 1. **Understanding the Photoelectric Effect**: The photoelectric effect refers to the phenomenon where electrons are ejected from a material (usually a metal) when it is exposed to light (or electromagnetic radiation) of sufficient frequency. 2. **Current and Intensity Relationship**: The current produced in the photoelectric effect is directly proportional to the intensity of the incident light. This is because: - Increasing the intensity of light means increasing the number of photons hitting the surface of the metal. - More photons lead to more ejected electrons, which in turn increases the current. Therefore, we can conclude that **Current ∝ Intensity**. 3. **Kinetic Energy of Ejected Electrons**: The maximum kinetic energy (K.E.) of the ejected electrons is dependent on the frequency of the incident light, not on its intensity. According to Einstein's photoelectric equation: \[ K.E. = hf - \phi \] where \(hf\) is the energy of the incident photon (with \(h\) being Planck's constant and \(f\) the frequency) and \(\phi\) is the work function of the metal. - If the frequency increases, the kinetic energy increases. - If the frequency decreases, the kinetic energy decreases. - Thus, the kinetic energy is independent of the intensity of the radiation. 4. **Time Lag in Electron Ejection**: There is no time lag between the incidence of a photon and the ejection of an electron. This means that the process is instantaneous: - When a photon with sufficient energy strikes the metal, the electron is emitted immediately without any delay. 5. **Conclusion**: - The first statement about current being directly proportional to intensity is correct. - The second statement about maximum kinetic energy depending on intensity is incorrect; it depends on frequency. - The third statement about no time lag in the ejection process is correct. ### Final Summary: - **Correct Statements**: 1. Current is directly proportional to the intensity of incident light. 2. There is no time lag between the incident photon and ejection of the electron. - **Incorrect Statement**: 1. Maximum kinetic energy of ejected electrons depends on the intensity of radiation.

### Step-by-Step Solution: 1. **Understanding the Photoelectric Effect**: The photoelectric effect refers to the phenomenon where electrons are ejected from a material (usually a metal) when it is exposed to light (or electromagnetic radiation) of sufficient frequency. 2. **Current and Intensity Relationship**: The current produced in the photoelectric effect is directly proportional to the intensity of the incident light. This is because: - Increasing the intensity of light means increasing the number of photons hitting the surface of the metal. - More photons lead to more ejected electrons, which in turn increases the current. ...
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Knowledge Check

  • In a photoelectric effect, electrons are emitted

    A
    with a maximum velocity proportional to the frequency of the incident radiation
    B
    at a rate that is independent of the intensity of the incident radiation
    C
    only if the frequency of the incident radiation is above a certain threshold value
    D
    only if the temperature of the emitter is high
  • By photoelectric effect, Einstein, proved

    A
    `E=hv`
    B
    `K.E. = (1)/(2) mv^(2)`
    C
    `E=mc^(2)`
    D
    `E=(Rhc^(2))/(n^(2))`
  • The work function for photoelectric effect

    A
    depends upon the frequency of incident light
    B
    is same for all metals
    C
    is different for different metals
    D
    none of these
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