Derive the relation λ = h p where the symbols have their usual meanings.

De Broglie proposed the wavelength equation with the help of the Plank equation and Einstein’s mass energy relation and Plank equation of matter. The mass of the photon, the smaller the light quanta given from mass energy equation of Einstein. If the wavelength of light = λ , frequency = v , and energy = E . From plank equation, E = h v = h c / λ . Where C = Velocity of light. H = plank constant. Theory of relativity from Einstein. E = m c 2 Combining these two relations, m c = h / λ or p = h / λ Where p = mc = mv = momentum. ∴ w a v e l e n g t h ( λ ) = h / p .

Derive the equation V o = h e v - ϕ o e from Einstein’s photoelectric equation.

Einstein's photoelectric equation. By conservation of energy The energy of incident proton - maximum K.E of e - + work function h v = 1 2 m v m a x 2 + ω ο ω ο = h v o T h r e e h o l d f r e q u e n c y K m a x = h v - h v ο K m a x = h v - v o .

Derive the equation V o = h e v - ϕ o e from Einstein’s photoelectric equation.

Einstein's photoelectric equation. By conservation of energy The energy of incident proton - maximum K.E of e - + work function h v = 1 2 m v m a x 2 + ω ο ω ο = h v o T h r e e h o l d f r e q u e n c y K m a x = h v - h v ο K m a x = h v - v o .

Derive the relation λ = h p where the symbols have their usual meanings.

De Broglie proposed the wavelength equation with the help of the Plank equation and Einstein’s mass energy relation and Plank equation of matter. The mass of the photon, the smaller the light quanta given from mass energy equation of Einstein. If the wavelength of light = λ , frequency = v , and energy = E . From plank equation, E = h v = h c / λ . Where C = Velocity of light. H = plank constant. Theory of relativity from Einstein. E = m c 2 Combining these two relations, m c = h / λ or p = h / λ Where p = mc = mv = momentum. ∴ w a v e l e n g t h ( λ ) = h / p .