(a) The energy of photon incident on a material is 1.42 eV. ( Determine the minimum frequency of an incident photon that can interact with a valence electron and elevate the electron to become free. (ii) What is the corresponding wavelength? (b) Repeat part (a) for a photon energy of 1.12 eV.

Respuesta :

Answer:

a)

3.43*10^{14} Hz

8.75*10^{-7} m

b)

2.70*10^{14} Hz

1.10*10^{-6} m

Explanation:

GIVEN DATA:

a)

i)we know that

E = h\nu

where E is energy

h = plank's constant = 6.625* 10^{-34} j-s

[tex]\nu = frequency[/tex]

[tex]\nu = \frac{E}{h} = \frac{1.42*1.6*10^{-19} v}{6.625*10^{-34}}[/tex]

[tex]\nu = 3.43*10^{14} Hz[/tex]

ii)wavelength  is given as

[tex]\lambda = \frac{c}{\nu}[/tex]

            [tex]= \frac{3*10^8}{3.43*10^{14}} = 8.75*10^{-7} m[/tex]

b) i) i)we know that

[tex]E = h\nu[/tex]

where E is energy

h = plank's constant = 6.625* 10^{-34} j-s

[tex]\nu = frequency[/tex]

[tex]\nu = \frac{E}{h} = \frac{1.12*1.6*10^{-19} v}{6.625*10^{-34}}[/tex]

[tex]\nu =2.70*10^{14} Hz[/tex]

ii)wavelength  is given as

[tex]\lambda = \frac{c}{\nu}[/tex]

[tex]= \frac{3*10^8}{2.70*10^{14}} = 1.10*10^{-6} m[/tex]