Dual Nature of ...

The de Broglie wavelength of an electron in the $$4^{th}$$ Bohr orbit is:

If the de Broglie wavelengths associated with a proton and an $$\alpha -$$ particle are equal, then the ratio of velocities of the proton and the $$\alpha -$$ particle will be:

An electron (of mass m) and a photon have the same energy E in the range of a few eV. The ratio of the de-Broglie wavelength associated with the electron and the wavelength of the photon is (c = speed of light in vacuum)

A particle moving with kinetic energy E has de Broglie wavelength $$\lambda$$. If energy $$\Delta E$$ is added to its energy, the wavelength become $$\lambda /2$$. Value of $$\Delta E$$, is?

The relative uncertainty in the period of a satellite orbiting around the earth is $$10^{-2}$$. If the relative uncertainty in the radius of the orbit is negligible, the relative uncertainty in the mass of the earth is :

An electron of mass $$m$$ and magnitude of charge $$|e|$$ initially at rest gets accelerated by a constant electric field $$E$$. The rate of change of de-Broglie wavelength of this electron at time $$t$$ ignoring relativistic effects is:

A proton has kinetic energy $$\mathrm{E}=100\mathrm{k}\mathrm{e}\mathrm{V}$$ which is equal to that of a photon. The wavelength of photon is $$\lambda_{2}$$ and that of proton is $$\lambda_{1}$$. The ratio of $$\lambda_{1}/\lambda_{2}$$ is proportional to

A proton is fired from very far away towards a nucleus with charge Q = 120 e, where e is the electronic charge. It makes a closest approach of 10 fm to the nucleus. The de Broglie wavelength (in units of fm) of the proton at its start is :

A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30$$mW$$and the speed of light is $$3\times 10^{8}m/s$$. The final momentum of the object is:

The speed of the particle that can take discrete values is proportional to