When monochromatic light is incident on a photosensitive surface,the number of photoelectrons emitted per second from the surface is $n$ and the maximum kinetic energy is $K_{max}$. If the intensity of the incident light is doubled,then...

  • A
    $n$ and $K_{max}$ will both be doubled.
  • B
    $n$ and $K_{max}$ will both be halved.
  • C
    The value of $n$ will be doubled,but the value of $K_{max}$ will remain the same.
  • D
    The value of $K_{max}$ will be doubled,but the value of $n$ will remain the same.

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If the work function of a metal is $\phi$ and the frequency of the incident light is $\nu$,there is no emission of photoelectrons if:

The work function of a metallic surface is $5.01 \, eV$. The photo-electrons are emitted when light of wavelength $2000 \, \mathring{A}$ falls on it. The potential difference applied to stop the fastest photo-electrons is ............... $volt$ $[h = 4.14 \times 10^{-15} \, eV \cdot s]$

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The work function of caesium metal is $2.14 \; eV$. When light of frequency $6 \times 10^{14} \; Hz$ is incident on the metal surface,photoemission of electrons occurs. What is the
$(a)$ maximum kinetic energy of the emitted electrons,
$(b)$ stopping potential,and
$(c)$ maximum speed of the emitted photoelectrons?

If ultraviolet radiation of $6.2 eV$ falls on an aluminium surface,then the kinetic energy of the fastest emitted electron is (work-function $= 4.2 eV$)

The wavelength of light in the visible region is about $390\; nm$ for violet colour,about $550\; nm$ (average wavelength) for yellow-green colour and about $760\; nm$ for red colour.
$(a)$ What are the energies of photons in $(eV)$ at the $(i)$ violet end,$(ii)$ average wavelength (yellow-green colour),and $(iii)$ red end of the visible spectrum? (Take $h=6.63 \times 10^{-34} \;J s$ and $1 \;eV = 1.6 \times 10^{-19} \;J$)
$(b)$ From which of the photosensitive materials with work functions listed in the table,and using the results of $(i), (ii)$ and $(iii)$ of $(a)$,can you build a photoelectric device that operates with visible light?
MetalWork function $\phi_{0} (eV)$MetalWork function $\phi_{0} (eV)$
$Cs$$2.14$$Al$$4.28$
$K$$2.30$$Hg$$4.49$
$Na$$2.75$$Cu$$4.65$
$Ca$$3.20$$Ag$$4.70$
$Mo$$4.17$$N$$5.15$
$Pb$$4.25$$Pt$$5.65$

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