Enter the frequency of the incident photon (hz) and the work function (eV) into the calculator to determine the Maximum Kinetic Energy.

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## Maximum Kinetic Energy Formula

The following equation is used to calculate the Maximum Kinetic Energy.

Emax = h*f-W

Variables:

- Where Emax is the Maximum Kinetic Energy (eV)
- f is the frequency of the incident photon (hz)
- W is the work function (eV)
- h is Planck’s Constant (4.14*10^-15 eV*s)

To calculate the maximum kinetic energy, multiply the frequency by Planck’s constant, then subtract the work function.

## How to Calculate Maximum Kinetic Energy?

The following two example problems outline the steps and information needed in order to calculate the Maximum Kinetic Energy.

**Example Problem #1:**

- First, determine the frequency of the incident photon (hz). In this example, the frequency of the incident photon (hz) is measured to be 9.
- Next, determine the work function (eV). For this problem, the work function (eV) is calculated to be 4.
- Finally, calculate the Maximum Kinetic Energy using the formula above:

Emax = h*f-W

Inserting the values from above and solving the equation with the imputed values gives:

Emax = 4.14*10^-15*9-4= -4 (eV)

**Example Problem #2: **

Using the same process as example problem 1, we first define the needed variables outlined by the formula. In this case, the values are provide as:

frequency of the incident photon (hz) = 3

work function (eV) = 4

Entering these values into the formula or calculator above gives us:

**Emax = 4.14*10^-15*3-4=-4 **(eV)