If the maximum kinetic energy of emitted electrons in photoelectric effect is $3 \cdot 2 \times 10^{-19}…

If the maximum kinetic energy of emitted electrons in photoelectric effect is $3 \cdot 2 \times 10^{-19} \mathrm{~J}$ and the work function for metal is $6 \cdot 63 \times 10^{-19} \mathrm{~J}$, then stopping potential and threshold wavelength respectively are [Planck's constant $\left.\mathrm{h}=6.63 \times 10^{-34} \mathrm{~J} . \mathrm{s}\right]$ [Velocity of light $\left.\mathrm{c}=3 \times 10^{8} \frac{\mathrm{m}}{\mathrm{s}}\right]$ $\left[\right.$ charge on electron $\left.=1 \cdot 6 \times 10^{-19} \mathrm{C}\right]$
  1. $3 \mathrm{~V}, 4000 Å$
  2. $4 \mathrm{~V}, 6000 Å$
  3. $1 \mathrm{~V}, 1000 Å$
  4. $2 \mathrm{~V}, 3000 Å$

Solution

$\begin{array}{l} (\mathrm{k} \cdot \mathrm{E})_{\max }=\mathrm{eV}_{\mathrm{s}}=3.2 \times 10^{-19} \mathrm{~J} \\ \therefore \mathrm{V}_{\mathrm{s}}=\frac{3.2 \times 10^{-19}}{1.6 \times 10^{-19}}=2 \mathrm{~V} \end{array}$ In the given options, only option (D) has $\mathrm{V}_{\mathrm{s}}=2 \mathrm{~V}$ ~

Asked in: MHT CET 2020 (19 Oct Shift 2)

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