A monochromatic beam of light of wavelength $400\,nm$ incident normally upon a photosensitive surface ($25\%$ reflects and rest absorbs), produces a pressure of $5 \times 10^{-7}\,Nm^{-2}$ on it. If $0.1\%$ of the incident photons produce electrons then corresponding saturation current will be..............$\mu A$ (consider area of photosensitive surface $= 5\,cm^2$)

A photon of $1.7 \times {10^{ - 13}}$ Joules is absorbed by a material under special circumstances. The correct statement is

A beam of light of wavelength $400\,nm$ and power $1.55\,mW$ is directed at the cathode of a photoelectric cell. If only $10 \%$ of the incident photons effectively produce photoelectron, then find current due to these electrons $...........\mu A$

[given, $hc =1240\,eV - nm , e =1.6 \times 10^{-{ }^{19}\,C }$ )

Assertion : The photoelectrons produced by a monochromatic light beam incident on a metal surface, have a spread in their kinetic energies.
Reason : The work function of the metal varies as a function of depth from the surface.

An electron and a photon each have a wavelength of $1.00\; nm$. Find

$(a)$ their momenta,

$(b)$ the energy of the photon, and

$(c)$ the kinetic energy of electron.

A silver sphere of radius $1\ cm$ and work function $4.7 \ eV$ is suspended from an insulating thread in free-space. It is under continuous illumination of $200 \ nm$ wavelength light. As photoelectrons are emitted, the sphere gets charged and acquires a potential. The maximum number of photoelectrons emitted from the sphere is $A \times 10^2$ (where $1 < A < 10$ ). The value of  $'Z '$ is