Q76 / 90 · JEE Main 2024 (09 Apr Shift 2) · Physics

UV light of $4.13 \mathrm{eV}$ is incident on a photosensitive metal surface having work function $3.13 \mathrm{eV}$. The maximum kinetic energy of ejected photoelectrons will be:

  • A
    $4.13 \mathrm{eV}$
  • B
    $3.13 \mathrm{eV}$
  • Correct answer
    C
    $1 \mathrm{eV}$
  • D
    $7.26 \mathrm{eV}$

Solution

$\begin{aligned} & \mathrm{E}_{\text {photon }}=(\text { work function })+\mathrm{K} \cdot \mathrm{E}_{\max } \\ & \therefore 4.13=3.13+\mathrm{K} \cdot \mathrm{E}_{\max } \\ & \therefore \mathrm{K}_{\mathrm{max}}=1 \mathrm{eV}\end{aligned}$

Hence, the correct answer is option: 'C'.

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