Derive de Broglie equation for microscopic particles.

Derive de Broglie wave equation for material particles. (b) Why does photoelectric emission not take place if the frequency of incident radiation is less than threshold frequency ?

Assertion (A) : de-Broglie equation is significant for microscopic particles. Reason (R ): de -Broglie wavelength is inversely proportional to the mass of a particle when velocity is kept constant.

The de-Broglie equation applies

According to Louis de Broglie, a French physicist, every moving material particle has a dual nature i.e., wave and particle nature. The two characters are co-related by de Broglie relation lambda=(h)/(m upsilon(p)). Here lambda represents wave nature while p or m upsilon accounts for the particle nature. Since h is constant , the two characters are inversely proportional to each other. This relationship or equation is valid mainly for microscopic particles such as electrons, protons, atoms, ions, molecules etc. It does not apply to semi-micro or micro particles. For particles having same kinetic energy , the de Broglie wavelength is :

According to Louis de Broglie, a French physicist, every moving material particle has a dual nature i.e., wave and particle nature. The two characters are co-related by de Broglie relation lambda=(h)/(m upsilon(p)). Here lambda represents wave nature while p or m upsilon accounts for the particle nature. Since h is constant , the two characters are inversely proportional to each other. This relationship or equation is valid mainly for microscopic particles such as electrons, protons, atoms, ions, molecules etc. It does not apply to semi-micro or micro particles. A particle A moving with a certain velocity has a de Broglie wavelength of 1 Ã…. If a particle B has the mass 25% that of A and velocity 75% that of A, the de Broglie wavelength of B will be approximately .

De Broglie Waves