Q154 / 160 · TS EAMCET 2022 (20 Jul Shift 1) · Physics

Statement (I) : By increasing the potential difference between cathode and anode continuously in a photoelectric experiment, the photo current always increases continuously. Statement (II) : If two photons A and B of energies 2.5 $\mathrm{eV}$ and $3.5 \mathrm{eV}$ respectively fall on a metal surface of work function $2.0 \mathrm{eV}$, then the ratio of maximum kinetic energies emitted between A and B is 3 . Statement (III) : The maximum energy needed by an electron to come out from metal surface is called the work function of the metal. Which of the following is correct?

  • A
    Statements I, II and III are true
  • B
    Statements I, II are true, but statement III is false
  • C
    Statements II, III are true, but statement I is false
  • Correct answer
    D
    Statements I, II and III are false

Solution

Photocurrent will become constant after a certain potential difference between cathode and anode. So, (I) is incorrect Now, $$ \frac{(\mathrm{K} . \mathrm{E})_{\mathrm{A}}}{(\mathrm{K} . \mathrm{E})_{\mathrm{B}}}=\frac{2.5-2}{3.5-2}=\frac{0.5}{1.5}=\frac{1}{3} $$ So, (II) is incorrect Work function is minimum energy needed to eject the electron. So, (III) is in correct.

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

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