Dual Nature of Matter

The stopping potential $V_{o}$ (in volt) as a function of frequency $(v)$ for a sodium emitter, is shown in the figure. The work function of sodium, form the data plotted in the figure, will be: (Given: Planck's…

An electron (mass $m$) with an initial velocity $\vec{v}=v_{0}\hat{i}\left(v_{0}>0\right)$ is moving in an electric field $\vec{E}=-E_{0}\hat{i}\left(E_{0}>0\right)$ where $E_{0}$ is constant. If at $t=0$,de-Broglie…

A point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of $24W$.The radius of curvature of hemisphere is $10\mathrm{cm}$ and the inner surface is completely…

Particle $A$ of mass $\text{m}_{\text{A}}=\frac{\text{m}}{2}$ moving along the $\text{x}$ -axis with velocity $\text{v}_{0}$ collides elastically with another particle $\text{B}$ at rest having mass…

The ratio of de Broglie wavelength of a deutron with kinetic energy $E$ to that of an alpha particle with kinetic energy $2 E$, is $n: 1$. The value of $n$ is $\_\_\_\_$. (Assume mass of proton $=$ mass of neutron) :

A particle having electric charge $3 \times 10^{-19} \mathrm{C}$ and mass $6 \times 10^{-27} \mathrm{~kg}$ is accelerated by applying an electric potential of 1.21 V. Wavelength of the matter wave associated with the…

A beam of electrons of energy E scatters from a target having atomic spacing of $1\AA$. The first maximum intensity occurs at $\theta\,=60^{\circ}.$ Then $E(\mathrm{in}\mathrm{eV})$ is........ (Planck's constant…

A certain metallic surface is illuminated by monochromatic radiation of wavelength $\lambda$. The stopping potential for photoelectric current for this radiation is $3V_{0}.$If the same surface is illuminated with a…

Match the LIST-I with LIST-II List-IList-IIA. Planck's constantI. $ML^2T^{-2}$B. Stopping potentialII. $T^{-1}$C. Work functionIII. $ML^2T^{-1}$D. Threshold frequencyIV. $ML^2T^{-3}A^{-1}$ Choose the correct answer from…

Two stream of photons, possessing energies equal to twice and ten times the work function of metal are incident on the metal surface successively. The value of ratio of maximum velocities of the photoelectrons emitted…

Given below are two statements : Statement I : Davisson-Germer experiment establishes the wave nature of electrons. Statement II : If electrons have wave nature, they can interfere and show diffraction. In the light of…

The surface of a metal is illuminated alternately with photons of energies $E_{1}=4\mathrm{eV}$and$E_{2}=2.5\mathrm{eV}$respectively.The ratio of maximum speeds of the photoelectrons emitted in the two cases is $2.$ The…