Electromagnetic radiation of 5.16ă—1016 hz frequency is applied on a metal surface and caused electron emission. determine the work function of the metal if the maximum kinetic energy (ek) of the emitted electron is 4.04ă—10-19 j.

Work function of the metal,

Explanation:

We are given that  

Frequency of the electromagnetic radiation,   Hz

The maximum kinetic energy of the emitted electron,

We need to find the work function of the metal.

We know that the maximum kinetic energy of ejected electron

Where h=Plank's constant=

=Frequency of light source

=Work function

Substitute the values in the given formula  

Then, the work function of the metal is given by :

So, the work function of the metal is . Hence, this is the required solution.