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Question: Answered & Verified by Expert
The work function of a substance is $4.0 \mathrm{eV}$. Then longest wavelength of light that can cause photoelectron emission from this substance approximately
PhysicsDual Nature of MatterJEE MainJEE Main 2004
Options:
  • A
    $540 \mathrm{~nm}$
  • B
    $400 \mathrm{~nm}$
  • C
    $310 \mathrm{~nm}$
  • D
    $220 \mathrm{~nm}$
Solution:
1030 Upvotes Verified Answer
The correct answer is:
$310 \mathrm{~nm}$
$\frac{\mathrm{hc}}{\lambda}=\mathrm{W}$
$\lambda_{\text {longest }}=\frac{\mathrm{hc}}{\mathrm{W}}=\frac{6.6 \times 10^{-34} \times 3 \times 10^8}{4.0 \times 1.6 \times 10^{-19}}$
$\Rightarrow \lambda_{\text {longest }} \approx 310 \mathrm{~nm}$.

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