Answer:
a) 
b) 
Explanation:
The photoelectric effect consists of the emission of electrons (electric current) that occurs when light falls on a metal surface under certain conditions.
If the light is a stream of photons and each of them has energy, this energy is able to pull an electron out of the crystalline lattice of the metal and communicate, in addition, a kinetic energy.
<u>This is what Einstein proposed: </u>
Light behaves like a stream of particles called photons with an energy 
:
(1)
So, the energy of the incident photon must be equal to the sum of the Work function 
of the metal and the kinetic energy 
of the photoelectron:
(2)
Where 
is the minimum amount of energy required to induce the photoemission of electrons from the surface of Titanium metal.
Knowing this, let's begin with the answers:
<h3 /><h3>a) Maximum possible kinetic energy of the emitted electrons (
)</h3>
From (1) we can know the energy of one photon of 233 nm light:
Where:
is the Planck constant
is the wavelength
is the speed of light
(3)
(4) This is the energy of one 233 nm photon
Substituting (4) in (2):
(5)
Finding :
(5) This is the maximum possible kinetic energy of the emitted electrons
<h3>b) Maximum number of electrons that can be freed by a burst of light whose total energy is
</h3>
Since one photon of 233 nm is able to free at most one electron from the Titanium metal, we can calculate the following relation:
Where 
is the energy of the burst of light
Hence:
This is the maximum number of electrons that can be freed by the burst of light.
