Dual Nature of ...

A proton when accelerated through a potential difference of  V volt has a wavelength $$\lambda $$ associated with it. An $$\alpha  $$ - particle in order to have the same wavelength $$\lambda $$ must be accelerated through a p.d. of

Moving with the same velocity, one of the following has the longest de Broglie wavelength

The wavelength associated with an electron having kinetic energy is given by the expression:

De Broglie wavelength ‘$$\lambda$$ ’ is proportional to

A microscopic particle of mass $$10^{-12}$$ kg is moving with a velocity of $$10^{2}$$ m/s. Then the de-Broglie wavelength associated with the particle is

An electron accelerated under a p.d. of V volt has a certain wavelength $$\lambda$$ . Mass of the proton is 2000 times the mass of an electron. If the proton has to have the same wavelength $$\lambda$$ , then it will have to be accelerated under p.d. of (volts):

The value of de Broglie wavelength of an electron moving with a speed of $$6.6 \times 10^{5} ms^{-1}$$ is approximately

The de Broglie wavelength associated with a particle at rest is

Matter waves are:

Einstein was awarded a Noble Prize for :