This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Here's the solution to determine the threshold frequency from the graph:
i) The threshold frequency of the radiation
Step 1: Understand the relationship between kinetic energy and frequency. According to the photoelectric effect, the maximum kinetic energy () of emitted electrons is given by the equation , where is Planck's constant, is the frequency of incident radiation, and is the work function. The work function is also defined as , where is the threshold frequency.
Step 2: Identify the threshold frequency on the graph. The threshold frequency () is the minimum frequency of incident radiation required to eject electrons, meaning at this frequency, the kinetic energy of the emitted electrons is zero (). On the graph, this corresponds to the x-intercept of the line.
Step 3: Read the value from the graph. Locate the point where the line intersects the x-axis (). The x-axis represents frequency . The line crosses the x-axis exactly at the mark labeled '4'.
Therefore, the threshold frequency is:
The threshold frequency of the radiation is .
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Here's the solution to determine the threshold frequency from the graph: i) The threshold frequency f_0 of the radiation Step 1: Understand the relationship between kinetic energy and frequency.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.