Kinetic energy of photoelectrons is independent on-------- of incident radiation.

Options

A. Wavelength
B. Wave number
C. Frequency
D. Intensity

Answer

To solve the question about the kinetic energy of photoelectrons and what it is independent of, we can follow these steps:

### Step 1: Understand the Photoelectric Effect
The photoelectric effect describes the emission of electrons from a material when it is exposed to light (or electromagnetic radiation). The kinetic energy (K.E.) of the emitted photoelectrons is influenced by the energy of the incident photons.

### Step 2: Write the Equation for Kinetic Energy
The kinetic energy of the emitted photoelectrons can be expressed using the equation:
\[ K.E. = h\nu - \phi \]
Where:
- \( K.E. \) is the kinetic energy of the photoelectrons,
- \( h \) is Planck's constant,
- \( \nu \) (nu) is the frequency of the incident radiation,
- \( \phi \) (phi) is the work function of the material.

### Step 3: Identify the Variables
From the equation, we can see that the kinetic energy of the photoelectrons depends on:
- The frequency (\( \nu \)) of the incident radiation,
- The work function (\( \phi \)) of the metal.

### Step 4: Determine What Kinetic Energy is Independent Of
The kinetic energy of the photoelectrons does not depend on the intensity of the incident radiation. Intensity relates to the number of photons hitting the surface per unit time, but does not affect the energy of individual photons. Therefore, the kinetic energy of the photoelectrons is independent of the intensity of the incident radiation.

### Conclusion
Thus, the correct answer to the question is that the kinetic energy of photoelectrons is independent of the intensity of the incident radiation.

### Final Answer
The kinetic energy of photoelectrons is independent of the intensity of incident radiation.

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