Two monochromatic light beams $A$ and $B$ of equal intensity are incident normally on a metallic surface per unit area. Their wavelengths are $\lambda_A$ and $\lambda_B$ respectively. The incident light is effective in ejecting photoelectrons. The ratio of the number of photoelectrons emitted by beam $A$ to that by beam $B$ is:

  • A
    $(\lambda_A / \lambda_B)^2$
  • B
    $\lambda_A / \lambda_B$
  • C
    $\lambda_B / \lambda_A$
  • D
    $1$

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Maximum velocity of photoelectrons emitted by a metal surface is $1.2 \times 10^6\, m/s$. Assuming the specific charge of the electron to be $1.8 \times 10^{11}\, C/kg$,the value of the stopping potential in volt will be

The work function of nickel is $5 \text{ eV}$. When light of wavelength $2000 \text{ Å}$ falls on it,it emits photoelectrons. The potential difference necessary to stop the fastest emitted electrons is (given $h = 6.67 \times 10^{-34} \text{ J-s}$): (in $\text{ V}$)

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$

When light is incident on a surface,photoelectrons are emitted. For these photoelectrons,which of the following is true?

When the wavelength of an incident photon is decreased, then:

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