The energy of a photon of light of wavelength $450 nm$ is
$4.4 \times {10^{ - 19}}J$
$2.5 \times {10^{ - 19}}J$
$1.25 \times {10^{ - 17}}J$
$2.5 \times {10^{ - 17}}J$
A totally reflecting small plane mirror placed horizontally faces a parallel beam of light as hown in figure. The mass of mirror is $20\, gm$. Assume that there is no absorption in the lens and that $30\%$ of the light emitted by the source goes through the lens. Find the power of the source needed to support the weight of the mirror ............... $MW$ (take $g = 10\, m/s^2$) :-
Using the Heisenberg uncertainty principle, arrange the following particles in the order of increasing lowest energy possible.
$(I)$ An electron in $H _{2}$ molecule
$(II)$ A hydrogen atom in a $H _{2}$ molecule
$(III)$ A proton in the carbon nucleus
$(IV)$ $A H _{2}$ molecule within a nanotube
Ultraviolet light of wavelength $300 \ nm$ and intensity $1.0 \ watt/m^2$ falls on the surface of a photosensitive material. If $1\%$ of the incident photons produce photoelectrons, then the number of photoelectrons emitted from an area of $1.0\ cm^2$ of the surface is nearly
Two metallic plates $A$ and $B$, each of area $5 ×10^{-4}m^2$ are placed parallel to each other at a separation of $1\ cm$. Plate $B$ carries a positive charge of $33.7 \,pc$. $A$ monochromatic beam of light, with photons of energy $5\, eV$ each, starts falling on plate $A$ at $t = 0$, so that $10^{16}$ photons fall on it per square meter per second. Assume that one photoelectron is emitted for every $10^{6}$ incident photons. Also assume that all the emitted photoelectrons are collected by plate $B$ and the work function of plate $A$ remains constant at the value $2\, eV$. Electric field between the plates at the end of $10$ seconds is
Monochromatic light of wavelength $ 632.8\; nm$ is produced by a helium-neon laser. The power emitted is $9.42 \;mW$.
$(a)$ Find the energy and momentum of each photon in the light beam,
$(b)$ How many photons per second, on the average, arrive at a target irradiated by this beam? (Assume the beam to have uniform cross-section which is less than the target area), and
$(c)$ How fast does a hydrogen atom have to travel in order to have the same momentum as that of the photon?