According to Einstein's photoelectric equation , the graph between the kinetic energy of photoelectrons ejected and the frequency of incident radiation is

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Explanation

To solve the question regarding the graph between the kinetic energy of photoelectrons ejected and the frequency of incident radiation according to Einstein's photoelectric equation, we can follow these steps:

### Step 1: Understand Einstein's Photoelectric Equation
Einstein's photoelectric equation is given by:
\[ KE = h\nu - \phi \]
where:
- \( KE \) is the kinetic energy of the ejected photoelectrons,
- \( h \) is Planck's constant,
- \( \nu \) is the frequency of the incident radiation,
- \( \phi \) (or \( h\nu_0 \)) is the work function of the material.

### Step 2: Rearranging the Equation
From the equation, we can express the kinetic energy in terms of frequency:
\[ KE = h\nu - \phi \]
This indicates that the kinetic energy of the photoelectrons increases linearly with the frequency of the incident radiation.

### Step 3: Identify the Graph Characteristics
In the equation \( KE = h\nu - \phi \):
- The slope \( m \) of the graph (when plotted as \( KE \) vs. \( \nu \)) is equal to Planck's constant \( h \).
- The y-intercept (when \( \nu = 0 \)) is \( -\phi \), which means that the graph will intercept the y-axis at a negative value.

### Step 4: Plot the Graph
1. On the x-axis, plot the frequency \( \nu \).
2. On the y-axis, plot the kinetic energy \( KE \).
3. The graph will start below the origin (at \( -\phi \)) and will rise linearly as frequency increases.

### Step 5: Conclusion
The resulting graph is a straight line with a positive slope that intersects the y-axis at a negative value. This indicates that for frequencies below a certain threshold (where \( \nu < \nu_0 \)), no photoelectrons are emitted, and thus the kinetic energy is negative or zero.

### Final Answer
The graph between the kinetic energy of photoelectrons ejected and the frequency of the incident radiation is a straight line with a positive slope, intersecting the y-axis at a negative value.

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