Embibe Experts Solutions for Chapter: Dual Nature of Matter and Radiation, Exercise 3: Exercise-3

The number of photoelectrons emitted for light of a frequency $v$ is proportional to (higher than the threshold frequency $v_0$) 

Consider a situation  When the  monochromatic radiation of the  intensity $I$ Falls on the metal surface, the number of photoelectrons and their maximum kinetic energy are $N$ and $T$ Respectively. If the intensity of radiation is $2I,$ then The number of emitted electrons and their maximum kinetic energy will be respectively

In the Davisson and Germer experiment, the velpcity of electrons emitted from the electron gun can be increased by:

An $\alpha$ -particle moves in a circular path of radius $0.83 \mathrm{cm}$ in the presence of a magnetic field of $0.25 \mathrm{Wb} {\mathrm{m}}^{-2}.$ The de Broglie wavelength associated with the particle will be 

The wavelength ${\lambda }_{\theta }$ of an electron and ${\lambda }_p$ of a photon of same energy $E$ are related by

The photoelectric threshold wavelength of silver is $3250\times {10}^{-10} \mathrm{m}$. The velocity of the electron ejected from a silver surface by the ultraviolet light of wavelength $2536\times {10}^{-10} \mathrm{m}$ is (Given, $h=4.14\times {10}^{-15} \mathrm{eV} \mathrm{s}$ and $c=3\times {10}^8{ \mathrm{m} \mathrm{s}}^{-1}$)

An electron of mass $m$ with an initial velocity $\overline{V}=V_0\hat{\mathrm{i}}\left(V_0>0\right)$ enters an electric field $E=-E_0\hat{\mathrm{i}}$, ($E_0=$constant$>0$) at $t=0, \lambda$ is its de Broglie wavelength at a time $t$ is

Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths $r=\frac{{\lambda }_1}{{\lambda }_2}$, is given by