Dual Nature of ...

In a Young double slit experiment, the distance between the slits is 50 $$\mu m$$ and the distance of the screen from the slits is 5 cm. An infrared monochromatic light is mood to produce an interference pattern with fringe width 1 mm. If the light source is replaced by an electron source to produce the same fringe width then the speed of the electrons is approximately

A graph regarding photoelectric effect is shown between the maximum kinetic energy of electrons and the frequency of the incident light. On the basis of the data as shown in the graph, calculate the work function.

A student performs an experiment on photoelectric effect using two materials A and B. A plot of stopping potential $$(V_0)$$ vs frequency $$(\upsilon)$$ is as shown in the figure.The value of h obtained from the experiment for both A and B respectively is (Given electric charge of an electron = 1.6 $$\times \, 10^{-19}$$ C)

A particle is moving three times as fast as an electron. The ratio of the de Broglie wavelength of the particle to that of the electron is $$1.813 \, \times \, 10^{-4}$$. The mass of the particle is $$(m_e \, = \, 9.1 \, \times \, 10^{-31} \, kg)$$

An electron (mass m) with an initial velocity $$\bar{v}\, = \,v_0\,\,\hat{i}(v_0 > 0)$$ is in an electric field $$ \bar{E} = -E_0\,\,\hat{i} $$ ($$E_0\, = \,constant \,>\, 0$$). Its de Broglie wavelength at time t is given by

A particle of mass $$M$$ at rest decays into two particle of masses $${m}_{1}$$ and $${m}_{2}$$ having non zero velocities. The ratio of the de Broglie wavelength of particles $${\lambda}_{1}/{\lambda}_{2}$$  :

An electromagnetic wave of wavelength $$\lambda$$ is incident on a photosensitive surface of negligible work function. If the photoelectrons emitted from this surface have the de Brogue wavelength $$\lambda'$$, then 

An $$\alpha-$$particle and a proton have their masses in the ratio $$4\ :\ 1$$ and charges in the ratio $$2\ :\ 1$$. Find ratio of their de-Broglie wavelengths when both move with equal velocities.

The potential energy of particle of mass m varies as $$U (x) \, = \, \left\{\begin{matrix}E_0: \,  \, \  0 \, \leq \, x \, \leq \, 1 \\ 0: \, \ \,  \, x \, > \, 1 \end{matrix}\right.$$ The de Broglie wavelength of the particle in the range $$0 \, \leq \, x \, \leq \, 1 \, is \, \lambda_1$$ and that in the range $$x \, > \, 1 \, is \,  \lambda_2$$. If the total energy of the particle is $$2E_0$$, find $$\lambda_1,/\lambda_2.$$ 

The collector of the photocell (in photoelectric experiment ) is made of tungsten while the emitter is of Platinum having work function of $$10 eV$$ Monochromatic radiation pf wavelength $$124 A $$ power $$100$$ watt is incident on emitter which enits photo electrons with a quantum efficiency of $$1 \% $$ . The accelerating voltage across the photocell is of $$ 10,000$$ volts (Use : $$hc = 12400 eV \mathring{A} $$ )