Question

When light of frequency equal to 2.11 x 10^-15 s-1 shines on the surface of gold metal, the kinetic energy of ejected electrons is found to be 5.83 x 10^-19 J. What is the work function of gold?

Answer 1

Work function,
`W=5.83* 10^(-19)\ J`

Step-by-step explanation:

Given that,

Frequency of light,
`f=2.11* 10^(-15)\ Hz`

Kinetic energy of the ejected electrons,
`E_k=5.83* 10^(-19)\ J`

We need to find the work function of the gold. Let it is W.

Using Einstein's photoelectric equation as follows :

`W=hf-E_K\\\\W=6.63* 10^(-34)* 2.11* 10^(-15)-5.83* 10^(-19)\\\\W=-5.83* 10^(-19)\ J`

So, the work function of gold is
`5.83* 10^(-19)\ J`.