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 :

Options

A. directly proportional to velocity
B. inversely proportional to velocity
C. independent of velocity and mass
D. meaningless

Answer

A

Explanation

`lambda=(h)/(m upsilon)=(h upsilon)/(2xxKE)`
If KE is fixed then `lambda prop upsilon`.