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Determine the shortest frequency of light required to remove an electron from a sample of ti metal if the binding energy of titanium is 3. 14 × 10^3 kj/mol

Sagot :

The shortest frequency of light required to remove an electron from a sample of ti metal if the binding energy of titanium is 3. 14 × [tex]10^{3}[/tex] kj/mol will be  v = 0.47 * [tex]10^{37}[/tex] Hz

Binding energy, amount of energy required to separate a particle from a system of particles or to disperse all the particles of the system. Binding energy is especially applicable to subatomic particles in atomic nuclei, to electrons bound to nuclei in atoms, and to atoms and ions bound together in crystals.

Work function is defined as the minimum amount of energy needed to remove an electron from the atom. So, the minimum energy required to remove an electron is called the Work function.

plank's constant = 6.62 × [tex]10^{-34}[/tex] [tex]m^{2}[/tex] kg/s

Binding energy   = 3. 14 × [tex]10^{3}[/tex] kj/mol

Energy = plank's constant * frequency

3. 14 × [tex]10^{3}[/tex] = 6.62 × [tex]10^{-34}[/tex] *  v

       v  =  3. 14 × [tex]10^{3}[/tex]  /  6.62 × [tex]10^{-34}[/tex]

       v = 0.47 * [tex]10^{37}[/tex] Hz

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