How many photons are required to provide $1 \, J$ of energy with a wavelength of $5000 \, \mathring{A}$?

  • A
    $2.5 \times 10^{-5}$
  • B
    $2.5 \times 10^{5}$
  • C
    $2.5 \times 10^{18}$
  • D
    $2.5 \times 10^{15}$

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$A$ photon of wavelength $4 \times 10^{-7} \, m$ strikes on a metal surface. The work function of the metal is $2.13 \, eV$. Calculate:
$(i)$ The energy of the photon in $eV$.
$(ii)$ The kinetic energy of the emission in $eV$.
$(iii)$ The velocity of the photoelectron in $ms^{-1}$ ($1 \, eV = 1.6020 \times 10^{-19} \, J$,mass of electron $m = 9.10939 \times 10^{-31} \, kg$).

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